---
_id: '19940'
abstract:
- lang: eng
text: "Two smooth map germs are right-equivalent if and only if they generate two\r\nLagrangian
submanifolds in a cotangent bundle which have the same contact with\r\nthe zero-section.
In this paper we provide a reverse direction to this\r\nclassical result of Golubitsky
and Guillemin. Two Lagrangian submanifolds of a\r\nsymplectic manifold have the
same contact with a third Lagrangian submanifold\r\nif and only if the intersection
problems correspond to stably right equivalent\r\nmap germs. We, therefore, obtain
a correspondence between local Lagrangian\r\nintersection problems and catastrophe
theory while the classical version only\r\ncaptures tangential intersections.
The correspondence is defined independently\r\nof any Lagrangian fibration of
the ambient symplectic manifold, in contrast to\r\nother classical results. Moreover,
we provide an extension of the\r\ncorrespondence to families of local Lagrangian
intersection problems. This\r\ngives rise to a framework which allows a natural
transportation of the notions\r\nof catastrophe theory such as stability, unfolding
and (uni-)versality to the\r\ngeometric setting such that we obtain a classification
of families of local\r\nLagrangian intersection problems. An application is the
classification of\r\nLagrangian boundary value problems for symplectic maps."
author:
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe
theory. arXiv:181110165.
apa: Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to
catastrophe theory. In arXiv:1811.10165.
bibtex: '@article{Offen, title={Local intersections of Lagrangian manifolds correspond
to catastrophe theory}, journal={arXiv:1811.10165}, author={Offen, Christian}
}'
chicago: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond
to Catastrophe Theory.” ArXiv:1811.10165, n.d.
ieee: C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe
theory,” arXiv:1811.10165. .
mla: Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to
Catastrophe Theory.” ArXiv:1811.10165.
short: C. Offen, ArXiv:1811.10165 (n.d.).
date_created: 2020-10-06T16:32:45Z
date_updated: 2023-08-10T08:48:55Z
ddc:
- '510'
department:
- _id: '636'
external_id:
arxiv:
- '1811.10165'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2021-12-21T16:01:03Z
date_updated: 2021-12-21T16:01:03Z
description: |-
Two smooth map germs are right-equivalent if and only if they
generate two Lagrangian submanifolds in a cotangent bundle which have the
same contact with the zero-section. In this paper we provide a reverse direction
to this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian
submanifold if and only if the intersection problems correspond to stably right
equivalent map germs. We, therefore, obtain a correspondence between local
Lagrangian intersection problems and catastrophe theory while the classical
version only captures tangential intersections. The correspondence is defined
independently of any Lagrangian fibration of the ambient symplectic manifold, in contrast to other classical results. Moreover, we provide an extension
of the correspondence to families of local Lagrangian intersection problems.
This gives rise to a framework which allows a natural transportation of the
notions of catastrophe theory such as stability, unfolding and (uni-)versality
to the geometric setting such that we obtain a classification of families of lo-
cal Lagrangian intersection problems. An application is the classification of
Lagrangian boundary value problems for symplectic maps.
file_id: '29078'
file_name: LocalLagrangianContact.pdf
file_size: 662483
relation: main_file
title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
file_date_updated: 2021-12-21T16:01:03Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
publication: arXiv:1811.10165
publication_status: submitted
status: public
title: Local intersections of Lagrangian manifolds correspond to catastrophe theory
type: preprint
user_id: '85279'
year: '2018'
...
---
_id: '19943'
abstract:
- lang: eng
text: 'In this paper we continue our study of bifurcations of solutions of boundary-value
problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have
been shown to be connected to catastrophe theory via generating functions and
ordinary and reversal phase space symmetries have been considered. Here we present
a convenient, coordinate free framework to analyse separated Lagrangian boundary
value problems which include classical Dirichlet, Neumann and Robin boundary value
problems. The framework is then used to prove the existence of obstructions arising
from conformal symplectic symmetries on the bifurcation behaviour of solutions
to Hamiltonian boundary value problems. Under non-degeneracy conditions, a group
action by conformal symplectic symmetries has the effect that the flow map cannot
degenerate in a direction which is tangential to the action. This imposes restrictions
on which singularities can occur in boundary value problems. Our results generalise
classical results about conjugate loci on Riemannian manifolds to a large class
of Hamiltonian boundary value problems with, for example, scaling symmetries. '
article_type: original
author:
- first_name: Robert I
full_name: McLachlan, Robert I
last_name: McLachlan
- first_name: Christian
full_name: Offen, Christian
id: '85279'
last_name: Offen
orcid: https://orcid.org/0000-0002-5940-8057
citation:
ama: McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic
symmetries, and conjugate loci. New Zealand Journal of Mathematics. 2018;48:83-99.
doi:10.53733/34
apa: McLachlan, R. I., & Offen, C. (2018). Hamiltonian boundary value problems,
conformal symplectic symmetries, and conjugate loci. New Zealand Journal of
Mathematics, 48, 83–99. https://doi.org/10.53733/34
bibtex: '@article{McLachlan_Offen_2018, title={Hamiltonian boundary value problems,
conformal symplectic symmetries, and conjugate loci}, volume={48}, DOI={10.53733/34 }, journal={New Zealand Journal of Mathematics}, author={McLachlan,
Robert I and Offen, Christian}, year={2018}, pages={83–99} }'
chicago: 'McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value
Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand
Journal of Mathematics 48 (2018): 83–99. https://doi.org/10.53733/34 .'
ieee: 'R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal
symplectic symmetries, and conjugate loci,” New Zealand Journal of Mathematics,
vol. 48, pp. 83–99, 2018, doi: 10.53733/34
.'
mla: McLachlan, Robert I., and Christian Offen. “Hamiltonian Boundary Value Problems,
Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of
Mathematics, vol. 48, 2018, pp. 83–99, doi:10.53733/34 .
short: R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
date_created: 2020-10-06T16:39:08Z
date_updated: 2023-09-21T07:29:24Z
ddc:
- '510'
department:
- _id: '636'
doi: '10.53733/34 '
extern: '1'
external_id:
arxiv:
- '1804.07479'
file:
- access_level: open_access
content_type: application/pdf
creator: coffen
date_created: 2020-10-06T16:49:29Z
date_updated: 2020-10-07T14:04:01Z
file_id: '19946'
file_name: Hamiltonian_Boundary_Value_Problems,_Conformal_Symplectic_Symmetries,_and_Conjugate_Loci.pdf
file_size: 3126111
relation: main_file
title: Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and
Conjugate Loci
file_date_updated: 2020-10-07T14:04:01Z
has_accepted_license: '1'
intvolume: ' 48'
keyword:
- Hamiltonian boundary value problems
- singularities
- conformal symplectic geometry
- catastrophe theory
- conjugate loci
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://nzjmath.org/index.php/NZJMATH/article/view/34
oa: '1'
page: 83-99
publication: New Zealand Journal of Mathematics
publication_status: published
quality_controlled: '1'
status: public
title: Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate
loci
type: journal_article
user_id: '85279'
volume: 48
year: '2018'
...
---
_id: '5914'
abstract:
- lang: eng
text: During the last years, alternative drive technologies, for example electrically
powered vehicles (EV), have gained more and more attention, mainly caused by an
increasing awareness of the impact of CO2 emissions on climate change and by the
limitation of fossil fuels. However, these technologies currently come with new
challenges due to limited lithium ion battery storage density and high battery
costs which lead to a considerably reduced range in comparison to conventional
internal combustion engine powered vehicles. For this reason, it is desirable
to increase the vehicle range without enlarging the battery. When the route and
the road slope are known in advance, it is possible to vary the vehicles velocity
within certain limits in order to reduce the overall drivetrain energy consumption.
This may either result in an increased range or, alternatively, in larger energy
reserves for comfort functions such as air conditioning. In this presentation,
we formulate the challenge of range extension as a multiobjective optimal control
problem. We then apply different numerical methods to calculate the so-called
Pareto set of optimal compromises for the drivetrain power profile with respect
to the two concurrent objectives battery state of charge and mean velocity. In
order to numerically solve the optimal control problem by means of a direct method,
a time discretization of the drivetrain power profile is necessary. In combination
with a vehicle dynamics simulation model, the optimal control problem is transformed
into a high dimensional nonlinear optimization problem. For the approximation
of the Pareto set, two different optimization algorithms implemented in the software
package GAIO are used. The first one yields a global optimal solution by applying
a set-oriented subdivision technique to parameter space. By construction, this
technique is limited to coarse discretizations of the drivetrain power profile.
In contrast, the second technique, which is based on an image space continuation
method, is more suitable when the number of parameters is large while the number
of objectives is less than five. We compare the solutions of the two algorithms
and study the influence of different discretizations on the quality of the solutions.
A MATLAB/Simulink model is used to describe the dynamics of an EV. It is based
on a drivetrain efficiency map and considers vehicle properties such as rolling
friction and air drag, as well as environmental conditions like slope and ambient
temperature. The vehicle model takes into account the traction battery too, enabling
an exact prediction of the batterys response to power requests of drivetrain and
auxiliary loads, including state of charge.
author:
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
- first_name: Julian
full_name: Eckstein, Julian
last_name: Eckstein
- first_name: Kathrin
full_name: Flaßkamp, Kathrin
last_name: Flaßkamp
- first_name: Patrick
full_name: Friedel, Patrick
last_name: Friedel
- first_name: Christian
full_name: Horenkamp, Christian
last_name: Horenkamp
- first_name: Ulrich
full_name: Köhler, Ulrich
last_name: Köhler
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Sebastian
full_name: Tiemeyer, Sebastian
last_name: Tiemeyer
citation:
ama: 'Dellnitz M, Eckstein J, Flaßkamp K, et al. Multiobjective Optimal Control
Methods for the Development of an Intelligent Cruise Control. In: Progress
in Industrial Mathematics at ECMI 2014 . Cham: Springer International Publishing;
2017:633-641. doi:10.1007/978-3-319-23413-7_87'
apa: 'Dellnitz, M., Eckstein, J., Flaßkamp, K., Friedel, P., Horenkamp, C., Köhler,
U., … Tiemeyer, S. (2017). Multiobjective Optimal Control Methods for the Development
of an Intelligent Cruise Control. In Progress in Industrial Mathematics at
ECMI 2014 (pp. 633–641). Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-23413-7_87'
bibtex: '@inproceedings{Dellnitz_Eckstein_Flaßkamp_Friedel_Horenkamp_Köhler_Ober-Blöbaum_Peitz_Tiemeyer_2017,
place={Cham}, title={Multiobjective Optimal Control Methods for the Development
of an Intelligent Cruise Control}, DOI={10.1007/978-3-319-23413-7_87},
booktitle={Progress in Industrial Mathematics at ECMI 2014 }, publisher={Springer
International Publishing}, author={Dellnitz, Michael and Eckstein, Julian and
Flaßkamp, Kathrin and Friedel, Patrick and Horenkamp, Christian and Köhler, Ulrich
and Ober-Blöbaum, Sina and Peitz, Sebastian and Tiemeyer, Sebastian}, year={2017},
pages={633–641} }'
chicago: 'Dellnitz, Michael, Julian Eckstein, Kathrin Flaßkamp, Patrick Friedel,
Christian Horenkamp, Ulrich Köhler, Sina Ober-Blöbaum, Sebastian Peitz, and Sebastian
Tiemeyer. “Multiobjective Optimal Control Methods for the Development of an Intelligent
Cruise Control.” In Progress in Industrial Mathematics at ECMI 2014 , 633–41.
Cham: Springer International Publishing, 2017. https://doi.org/10.1007/978-3-319-23413-7_87.'
ieee: M. Dellnitz et al., “Multiobjective Optimal Control Methods for the
Development of an Intelligent Cruise Control,” in Progress in Industrial Mathematics
at ECMI 2014 , 2017, pp. 633–641.
mla: Dellnitz, Michael, et al. “Multiobjective Optimal Control Methods for the Development
of an Intelligent Cruise Control.” Progress in Industrial Mathematics at ECMI
2014 , Springer International Publishing, 2017, pp. 633–41, doi:10.1007/978-3-319-23413-7_87.
short: 'M. Dellnitz, J. Eckstein, K. Flaßkamp, P. Friedel, C. Horenkamp, U. Köhler,
S. Ober-Blöbaum, S. Peitz, S. Tiemeyer, in: Progress in Industrial Mathematics
at ECMI 2014 , Springer International Publishing, Cham, 2017, pp. 633–641.'
date_created: 2018-11-27T14:46:52Z
date_updated: 2022-01-06T07:02:47Z
doi: 10.1007/978-3-319-23413-7_87
language:
- iso: eng
page: 633-641
place: Cham
project:
- _id: '52'
name: Computing Resources Provided by the Paderborn Center for Parallel Computing
publication: 'Progress in Industrial Mathematics at ECMI 2014 '
publication_identifier:
isbn:
- '9783319234120'
- '9783319234137'
issn:
- 1612-3956
- 2198-3283
publication_status: published
publisher: Springer International Publishing
status: public
title: Multiobjective Optimal Control Methods for the Development of an Intelligent
Cruise Control
type: conference
user_id: '47427'
year: '2017'
...
---
_id: '20061'
author:
- first_name: J.C.
full_name: Mergel, J.C.
last_name: Mergel
- first_name: R.A.
full_name: Sauer, R.A.
last_name: Sauer
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Mergel JC, Sauer RA, Ober-Blöbaum S. C1-continuous space-time discretization
based on Hamilton’s law of varying action. ZAMM - Journal of Applied Mathematics
and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 2017;97(4):433-457.
doi:10.1002/zamm.201600062
apa: Mergel, J. C., Sauer, R. A., & Ober-Blöbaum, S. (2017). C1-continuous space-time
discretization based on Hamilton’s law of varying action. ZAMM - Journal of
Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
Mechanik, 97(4), 433–457. https://doi.org/10.1002/zamm.201600062
bibtex: '@article{Mergel_Sauer_Ober-Blöbaum_2017, title={C1-continuous space-time
discretization based on Hamilton’s law of varying action}, volume={97(4)}, DOI={10.1002/zamm.201600062}, journal={ZAMM
- Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik
und Mechanik}, author={Mergel, J.C. and Sauer, R.A. and Ober-Blöbaum, Sina}, year={2017},
pages={433–457} }'
chicago: 'Mergel, J.C., R.A. Sauer, and Sina Ober-Blöbaum. “C1-Continuous Space-Time
Discretization Based on Hamilton’s Law of Varying Action.” ZAMM - Journal of
Applied Mathematics and Mechanics / Zeitschrift Für Angewandte Mathematik Und
Mechanik 97(4) (2017): 433–57. https://doi.org/10.1002/zamm.201600062.'
ieee: 'J. C. Mergel, R. A. Sauer, and S. Ober-Blöbaum, “C1-continuous space-time
discretization based on Hamilton’s law of varying action,” ZAMM - Journal of
Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und
Mechanik, vol. 97(4), pp. 433–457, 2017, doi: 10.1002/zamm.201600062.'
mla: Mergel, J. C., et al. “C1-Continuous Space-Time Discretization Based on Hamilton’s
Law of Varying Action.” ZAMM - Journal of Applied Mathematics and Mechanics
/ Zeitschrift Für Angewandte Mathematik Und Mechanik, vol. 97(4), 2017, pp.
433–57, doi:10.1002/zamm.201600062.
short: J.C. Mergel, R.A. Sauer, S. Ober-Blöbaum, ZAMM - Journal of Applied Mathematics
and Mechanics / Zeitschrift Für Angewandte Mathematik Und Mechanik 97(4) (2017)
433–457.
date_created: 2020-10-15T15:56:20Z
date_updated: 2022-01-21T10:22:38Z
doi: 10.1002/zamm.201600062
language:
- iso: eng
page: 433-457
publication: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für
Angewandte Mathematik und Mechanik
publication_identifier:
issn:
- 1521-4001
status: public
title: C1-continuous space-time discretization based on Hamilton's law of varying
action
type: journal_article
user_id: '15694'
volume: 97(4)
year: '2017'
...
---
_id: '20091'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: S.
full_name: Leyendecker, S.
last_name: Leyendecker
citation:
ama: Wenger T, Ober-Blöbaum S, Leyendecker S. Construction and analysis of higher
order variational integrators for dynamical systems with holonomic constraints.
Advances in Computational Mathematics. 2017;43(5):1163-1195. doi:10.1007/s10444-017-9520-5
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Construction and
analysis of higher order variational integrators for dynamical systems with holonomic
constraints. Advances in Computational Mathematics, 43(5), 1163–1195.
https://doi.org/10.1007/s10444-017-9520-5
bibtex: '@article{Wenger_Ober-Blöbaum_Leyendecker_2017, title={Construction and
analysis of higher order variational integrators for dynamical systems with holonomic
constraints}, volume={43(5)}, DOI={10.1007/s10444-017-9520-5},
journal={Advances in Computational Mathematics}, author={Wenger, T. and Ober-Blöbaum,
Sina and Leyendecker, S.}, year={2017}, pages={1163–1195} }'
chicago: 'Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Construction and Analysis
of Higher Order Variational Integrators for Dynamical Systems with Holonomic Constraints.”
Advances in Computational Mathematics 43(5) (2017): 1163–95. https://doi.org/10.1007/s10444-017-9520-5.'
ieee: 'T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Construction and analysis
of higher order variational integrators for dynamical systems with holonomic constraints,”
Advances in Computational Mathematics, vol. 43(5), pp. 1163–1195, 2017,
doi: 10.1007/s10444-017-9520-5.'
mla: Wenger, T., et al. “Construction and Analysis of Higher Order Variational Integrators
for Dynamical Systems with Holonomic Constraints.” Advances in Computational
Mathematics, vol. 43(5), 2017, pp. 1163–95, doi:10.1007/s10444-017-9520-5.
short: T. Wenger, S. Ober-Blöbaum, S. Leyendecker, Advances in Computational Mathematics
43(5) (2017) 1163–1195.
date_created: 2020-10-15T15:58:19Z
date_updated: 2022-01-21T10:20:53Z
doi: 10.1007/s10444-017-9520-5
language:
- iso: eng
page: 1163-1195
publication: Advances in Computational Mathematics
status: public
title: Construction and analysis of higher order variational integrators for dynamical
systems with holonomic constraints
type: journal_article
user_id: '15694'
volume: 43(5)
year: '2017'
...
---
_id: '20059'
author:
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Ober-Blöbaum S. Galerkin variational integrators and modified symplectic Runge-Kutta
methods. IMA Journal of Numerical Analysis. 2017;37(1):375-406. doi:10.1093/imanum/drv062
apa: Ober-Blöbaum, S. (2017). Galerkin variational integrators and modified symplectic
Runge-Kutta methods. IMA Journal of Numerical Analysis, 37(1), 375–406.
https://doi.org/10.1093/imanum/drv062
bibtex: '@article{Ober-Blöbaum_2017, title={Galerkin variational integrators and
modified symplectic Runge-Kutta methods}, volume={37(1)}, DOI={10.1093/imanum/drv062},
journal={IMA Journal of Numerical Analysis}, author={Ober-Blöbaum, Sina}, year={2017},
pages={375–406} }'
chicago: 'Ober-Blöbaum, Sina. “Galerkin Variational Integrators and Modified Symplectic
Runge-Kutta Methods.” IMA Journal of Numerical Analysis 37(1) (2017): 375–406.
https://doi.org/10.1093/imanum/drv062.'
ieee: 'S. Ober-Blöbaum, “Galerkin variational integrators and modified symplectic
Runge-Kutta methods,” IMA Journal of Numerical Analysis, vol. 37(1), pp.
375–406, 2017, doi: 10.1093/imanum/drv062.'
mla: Ober-Blöbaum, Sina. “Galerkin Variational Integrators and Modified Symplectic
Runge-Kutta Methods.” IMA Journal of Numerical Analysis, vol. 37(1), 2017,
pp. 375–406, doi:10.1093/imanum/drv062.
short: S. Ober-Blöbaum, IMA Journal of Numerical Analysis 37(1) (2017) 375–406.
date_created: 2020-10-15T15:56:18Z
date_updated: 2022-01-21T10:23:42Z
doi: 10.1093/imanum/drv062
language:
- iso: eng
page: 375-406
publication: IMA Journal of Numerical Analysis
status: public
title: Galerkin variational integrators and modified symplectic Runge-Kutta methods
type: journal_article
user_id: '15694'
volume: 37(1)
year: '2017'
...
---
_id: '20093'
author:
- first_name: B,
full_name: Stellato, B,
last_name: Stellato
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: P.J.
full_name: Goulart, P.J.
last_name: Goulart
citation:
ama: Stellato B, Ober-Blöbaum S, Goulart PJ. Second-order switching time optimization
for switched dynamical systems. IEEE Transactions on Automatic Control.
2017;62(10):5407-5414.
apa: Stellato, B., Ober-Blöbaum, S., & Goulart, P. J. (2017). Second-order switching
time optimization for switched dynamical systems. IEEE Transactions on Automatic
Control, 62(10), 5407–5414.
bibtex: '@article{Stellato_Ober-Blöbaum_Goulart_2017, title={Second-order switching
time optimization for switched dynamical systems}, volume={62(10)}, journal={IEEE
Transactions on Automatic Control}, author={Stellato, B and Ober-Blöbaum, Sina
and Goulart, P.J.}, year={2017}, pages={5407–5414} }'
chicago: 'Stellato, B, Sina Ober-Blöbaum, and P.J. Goulart. “Second-Order Switching
Time Optimization for Switched Dynamical Systems.” IEEE Transactions on Automatic
Control 62(10) (2017): 5407–14.'
ieee: B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Second-order switching time
optimization for switched dynamical systems,” IEEE Transactions on Automatic
Control, vol. 62(10), pp. 5407–5414, 2017.
mla: Stellato, B., et al. “Second-Order Switching Time Optimization for Switched
Dynamical Systems.” IEEE Transactions on Automatic Control, vol. 62(10),
2017, pp. 5407–14.
short: B. Stellato, S. Ober-Blöbaum, P.J. Goulart, IEEE Transactions on Automatic
Control 62(10) (2017) 5407–5414.
date_created: 2020-10-15T15:58:22Z
date_updated: 2022-01-21T10:19:13Z
language:
- iso: eng
page: 5407-5414
publication: IEEE Transactions on Automatic Control
status: public
title: Second-order switching time optimization for switched dynamical systems
type: journal_article
user_id: '15694'
volume: 62(10)
year: '2017'
...
---
_id: '8756'
abstract:
- lang: eng
text: We present a new algorithm for model predictive control of non-linear systems
with respect to multiple, conflicting objectives. The idea is to provide a possibility
to change the objective in real-time, e.g. as a reaction to changes in the environment
or the system state itself. The algorithm utilises elements from various well-established
concepts, namely multiobjective optimal control, economic as well as explicit
model predictive control and motion planning with motion primitives. In order
to realise real-time applicability, we split the computation into an online and
an offline phase and we utilise symmetries in the open-loop optimal control problem
to reduce the number of multiobjective optimal control problems that need to be
solved in the offline phase. The results are illustrated using the example of
an electric vehicle where the longitudinal dynamics are controlled with respect
to the concurrent objectives arrival time and energy consumption.
article_type: original
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Kai
full_name: Schäfer, Kai
last_name: Schäfer
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Julian
full_name: Eckstein, Julian
last_name: Eckstein
- first_name: Ulrich
full_name: Köhler, Ulrich
last_name: Köhler
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: Peitz S, Schäfer K, Ober-Blöbaum S, Eckstein J, Köhler U, Dellnitz M. A multiobjective
MPC approach for autonomously driven electric vehicles. Proceedings of the
20th World Congress of the International Federation of Automatic Control (IFAC).
2017;50(1):8674-8679. doi:10.1016/j.ifacol.2017.08.1526
apa: Peitz, S., Schäfer, K., Ober-Blöbaum, S., Eckstein, J., Köhler, U., & Dellnitz,
M. (2017). A multiobjective MPC approach for autonomously driven electric vehicles.
Proceedings of the 20th World Congress of the International Federation of Automatic
Control (IFAC), 50(1), 8674–8679. https://doi.org/10.1016/j.ifacol.2017.08.1526
bibtex: '@article{Peitz_Schäfer_Ober-Blöbaum_Eckstein_Köhler_Dellnitz_2017, title={A
multiobjective MPC approach for autonomously driven electric vehicles}, volume={50},
DOI={10.1016/j.ifacol.2017.08.1526},
number={1}, journal={Proceedings of the 20th World Congress of the International
Federation of Automatic Control (IFAC)}, author={Peitz, Sebastian and Schäfer,
Kai and Ober-Blöbaum, Sina and Eckstein, Julian and Köhler, Ulrich and Dellnitz,
Michael}, year={2017}, pages={8674–8679} }'
chicago: 'Peitz, Sebastian, Kai Schäfer, Sina Ober-Blöbaum, Julian Eckstein, Ulrich
Köhler, and Michael Dellnitz. “A Multiobjective MPC Approach for Autonomously
Driven Electric Vehicles.” Proceedings of the 20th World Congress of the International
Federation of Automatic Control (IFAC) 50, no. 1 (2017): 8674–79. https://doi.org/10.1016/j.ifacol.2017.08.1526.'
ieee: 'S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, and M. Dellnitz,
“A multiobjective MPC approach for autonomously driven electric vehicles,” Proceedings
of the 20th World Congress of the International Federation of Automatic Control
(IFAC), vol. 50, no. 1, pp. 8674–8679, 2017, doi: 10.1016/j.ifacol.2017.08.1526.'
mla: Peitz, Sebastian, et al. “A Multiobjective MPC Approach for Autonomously Driven
Electric Vehicles.” Proceedings of the 20th World Congress of the International
Federation of Automatic Control (IFAC), vol. 50, no. 1, 2017, pp. 8674–79,
doi:10.1016/j.ifacol.2017.08.1526.
short: S. Peitz, K. Schäfer, S. Ober-Blöbaum, J. Eckstein, U. Köhler, M. Dellnitz,
Proceedings of the 20th World Congress of the International Federation of Automatic
Control (IFAC) 50 (2017) 8674–8679.
conference:
end_date: 2017-07-14
start_date: 2017-07-09
date_created: 2019-03-29T13:32:46Z
date_updated: 2022-01-21T13:58:41Z
department:
- _id: '101'
doi: 10.1016/j.ifacol.2017.08.1526
intvolume: ' 50'
issue: '1'
language:
- iso: eng
page: 8674-8679
publication: Proceedings of the 20th World Congress of the International Federation
of Automatic Control (IFAC)
publication_identifier:
issn:
- 2405-8963
publication_status: published
status: public
title: A multiobjective MPC approach for autonomously driven electric vehicles
type: journal_article
user_id: '15694'
volume: 50
year: '2017'
...
---
_id: '29430'
author:
- first_name: T.
full_name: Gail, T.
last_name: Gail
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
citation:
ama: 'Gail T, Ober-Blöbaum S, Leyendecker S. Variational multirate integration in
discrete mechanics and optimal control. In: ECCOMAS Thematic Conference on
Multibody Dynamics. ; 2017.'
apa: Gail, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Variational multirate
integration in discrete mechanics and optimal control. ECCOMAS Thematic Conference
on Multibody Dynamics.
bibtex: '@inproceedings{Gail_Ober-Blöbaum_Leyendecker_2017, title={Variational multirate
integration in discrete mechanics and optimal control}, booktitle={ECCOMAS Thematic
Conference on Multibody Dynamics}, author={Gail, T. and Ober-Blöbaum, Sina and
Leyendecker, S. }, year={2017} }'
chicago: Gail, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Multirate
Integration in Discrete Mechanics and Optimal Control.” In ECCOMAS Thematic
Conference on Multibody Dynamics, 2017.
ieee: T. Gail, S. Ober-Blöbaum, and S. Leyendecker, “Variational multirate integration
in discrete mechanics and optimal control,” 2017.
mla: Gail, T., et al. “Variational Multirate Integration in Discrete Mechanics and
Optimal Control.” ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
short: 'T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference
on Multibody Dynamics, 2017.'
conference:
end_date: 2017-06-22
start_date: 2017-06-19
date_created: 2022-01-19T10:06:50Z
date_updated: 2022-01-21T14:00:25Z
department:
- _id: '636'
language:
- iso: eng
publication: ECCOMAS Thematic Conference on Multibody Dynamics
status: public
title: Variational multirate integration in discrete mechanics and optimal control
type: conference
user_id: '15694'
year: '2017'
...
---
_id: '20106'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: S.
full_name: Leyendecker, S.
last_name: Leyendecker
citation:
ama: Wenger T, Ober-Blöbaum S, Leyendecker S. Variational integrators of mixed order
for constrained and unconstrained systems acting on multiple time scales. PAMM.
2017;17(1). doi:10.1002/pamm.201710057
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2017). Variational integrators
of mixed order for constrained and unconstrained systems acting on multiple time
scales. PAMM, 17(1). https://doi.org/10.1002/pamm.201710057
bibtex: '@article{Wenger_Ober-Blöbaum_Leyendecker_2017, title={Variational integrators
of mixed order for constrained and unconstrained systems acting on multiple time
scales}, volume={17}, DOI={10.1002/pamm.201710057},
number={1}, journal={PAMM}, publisher={WILEY-VCH Verlag}, author={Wenger, T. and
Ober-Blöbaum, Sina and Leyendecker, S.}, year={2017} }'
chicago: Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Integrators
of Mixed Order for Constrained and Unconstrained Systems Acting on Multiple Time
Scales.” PAMM 17, no. 1 (2017). https://doi.org/10.1002/pamm.201710057.
ieee: 'T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators
of mixed order for constrained and unconstrained systems acting on multiple time
scales,” PAMM, vol. 17, no. 1, 2017, doi: 10.1002/pamm.201710057.'
mla: Wenger, T., et al. “Variational Integrators of Mixed Order for Constrained
and Unconstrained Systems Acting on Multiple Time Scales.” PAMM, vol. 17,
no. 1, WILEY-VCH Verlag, 2017, doi:10.1002/pamm.201710057.
short: T. Wenger, S. Ober-Blöbaum, S. Leyendecker, PAMM 17 (2017).
date_created: 2020-10-15T15:59:09Z
date_updated: 2022-01-24T07:56:17Z
doi: 10.1002/pamm.201710057
intvolume: ' 17'
issue: '1'
language:
- iso: eng
publication: PAMM
publisher: WILEY-VCH Verlag
status: public
title: Variational integrators of mixed order for constrained and unconstrained systems
acting on multiple time scales
type: journal_article
user_id: '15694'
volume: 17
year: '2017'
...
---
_id: '20060'
author:
- first_name: M.
full_name: Ringkamp, M.
last_name: Ringkamp
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: S.
full_name: Leyendecker, S.
last_name: Leyendecker
citation:
ama: Ringkamp M, Ober-Blöbaum S, Leyendecker S. On the time transformation of mixed
integer optimal control problems using a consistent fixed integer control function.
Mathematical Programming. Published online 2016:1-31. doi:10.1007/s10107-016-1023-5
apa: Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2016). On the time transformation
of mixed integer optimal control problems using a consistent fixed integer control
function. Mathematical Programming, 1–31. https://doi.org/10.1007/s10107-016-1023-5
bibtex: '@article{Ringkamp_Ober-Blöbaum_Leyendecker_2016, title={On the time transformation
of mixed integer optimal control problems using a consistent fixed integer control
function}, DOI={10.1007/s10107-016-1023-5},
journal={Mathematical Programming}, author={Ringkamp, M. and Ober-Blöbaum, Sina
and Leyendecker, S.}, year={2016}, pages={1–31} }'
chicago: Ringkamp, M., Sina Ober-Blöbaum, and S. Leyendecker. “On the Time Transformation
of Mixed Integer Optimal Control Problems Using a Consistent Fixed Integer Control
Function.” Mathematical Programming, 2016, 1–31. https://doi.org/10.1007/s10107-016-1023-5.
ieee: 'M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “On the time transformation
of mixed integer optimal control problems using a consistent fixed integer control
function,” Mathematical Programming, pp. 1–31, 2016, doi: 10.1007/s10107-016-1023-5.'
mla: Ringkamp, M., et al. “On the Time Transformation of Mixed Integer Optimal Control
Problems Using a Consistent Fixed Integer Control Function.” Mathematical Programming,
2016, pp. 1–31, doi:10.1007/s10107-016-1023-5.
short: M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, Mathematical Programming (2016)
1–31.
date_created: 2020-10-15T15:56:19Z
date_updated: 2022-01-21T10:25:36Z
doi: 10.1007/s10107-016-1023-5
language:
- iso: eng
page: 1-31
publication: Mathematical Programming
status: public
title: On the time transformation of mixed integer optimal control problems using
a consistent fixed integer control function
type: journal_article
user_id: '15694'
year: '2016'
...
---
_id: '8758'
abstract:
- lang: eng
text: In this contribution we compare two different approaches to the implementation
of a Model Predictive Controller in an electric vehicle with respect to the quality
of the solution and real-time applicability. The goal is to develop an intelligent
cruise control in order to extend the vehicle range, i.e. to minimize energy consumption,
by computing the optimal torque profile for a given track. On the one hand, a
path-based linear model with strong simplifications regarding the vehicle dynamics
is used. On the other hand, a nonlinear model is employed in which the dynamics
of the mechanical and electrical subsystem are modeled.
author:
- first_name: Julian
full_name: Eckstein, Julian
last_name: Eckstein
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: https://orcid.org/0000-0002-3389-793X
- first_name: Kai
full_name: Schäfer, Kai
last_name: Schäfer
- first_name: Patrick
full_name: Friedel, Patrick
last_name: Friedel
- first_name: Ulrich
full_name: Köhler, Ulrich
last_name: Köhler
- first_name: 'Mirko '
full_name: 'Hessel von Molo, Mirko '
last_name: Hessel von Molo
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: Michael
full_name: Dellnitz, Michael
last_name: Dellnitz
citation:
ama: 'Eckstein J, Peitz S, Schäfer K, et al. A comparison of two predictive approaches
to control the longitudinal dynamics of electric vehicles. In: Procedia Technology,
3rd International Conference on System-Integrated Intelligence: New Challenges
for Product and Production Engineering. Vol 26. ; 2016:465-472. doi:10.1016/j.protcy.2016.08.059'
apa: 'Eckstein, J., Peitz, S., Schäfer, K., Friedel, P., Köhler, U., Hessel von
Molo, M., Ober-Blöbaum, S., & Dellnitz, M. (2016). A comparison of two predictive
approaches to control the longitudinal dynamics of electric vehicles. Procedia
Technology, 3rd International Conference on System-Integrated Intelligence: New
Challenges for Product and Production Engineering, 26, 465–472. https://doi.org/10.1016/j.protcy.2016.08.059'
bibtex: '@inproceedings{Eckstein_Peitz_Schäfer_Friedel_Köhler_Hessel von Molo_Ober-Blöbaum_Dellnitz_2016,
title={A comparison of two predictive approaches to control the longitudinal dynamics
of electric vehicles}, volume={26}, DOI={10.1016/j.protcy.2016.08.059},
booktitle={Procedia Technology, 3rd International Conference on System-Integrated
Intelligence: New Challenges for Product and Production Engineering}, author={Eckstein,
Julian and Peitz, Sebastian and Schäfer, Kai and Friedel, Patrick and Köhler,
Ulrich and Hessel von Molo, Mirko and Ober-Blöbaum, Sina and Dellnitz, Michael},
year={2016}, pages={465–472} }'
chicago: 'Eckstein, Julian, Sebastian Peitz, Kai Schäfer, Patrick Friedel, Ulrich
Köhler, Mirko Hessel von Molo, Sina Ober-Blöbaum, and Michael Dellnitz. “A Comparison
of Two Predictive Approaches to Control the Longitudinal Dynamics of Electric
Vehicles.” In Procedia Technology, 3rd International Conference on System-Integrated
Intelligence: New Challenges for Product and Production Engineering, 26:465–72,
2016. https://doi.org/10.1016/j.protcy.2016.08.059.'
ieee: 'J. Eckstein et al., “A comparison of two predictive approaches to
control the longitudinal dynamics of electric vehicles,” in Procedia Technology,
3rd International Conference on System-Integrated Intelligence: New Challenges
for Product and Production Engineering, 2016, vol. 26, pp. 465–472, doi: 10.1016/j.protcy.2016.08.059.'
mla: 'Eckstein, Julian, et al. “A Comparison of Two Predictive Approaches to Control
the Longitudinal Dynamics of Electric Vehicles.” Procedia Technology, 3rd International
Conference on System-Integrated Intelligence: New Challenges for Product and Production
Engineering, vol. 26, 2016, pp. 465–72, doi:10.1016/j.protcy.2016.08.059.'
short: 'J. Eckstein, S. Peitz, K. Schäfer, P. Friedel, U. Köhler, M. Hessel von
Molo, S. Ober-Blöbaum, M. Dellnitz, in: Procedia Technology, 3rd International
Conference on System-Integrated Intelligence: New Challenges for Product and Production
Engineering, 2016, pp. 465–472.'
date_created: 2019-03-29T13:35:25Z
date_updated: 2022-01-21T14:10:10Z
department:
- _id: '101'
doi: 10.1016/j.protcy.2016.08.059
intvolume: ' 26'
language:
- iso: eng
page: 465-472
publication: 'Procedia Technology, 3rd International Conference on System-Integrated
Intelligence: New Challenges for Product and Production Engineering'
publication_identifier:
issn:
- 2212-0173
publication_status: published
status: public
title: A comparison of two predictive approaches to control the longitudinal dynamics
of electric vehicles
type: conference
user_id: '15694'
volume: 26
year: '2016'
...
---
_id: '29435'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
citation:
ama: 'Wenger T, Ober-Blöbaum S, Leyendecker S. Variational integrators of mixed
order for dynamical systems with multiple time scales and split potentials. In:
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering. ; 2016:1818-1831.'
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Variational integrators
of mixed order for dynamical systems with multiple time scales and split potentials.
ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering, 1818–1831.
bibtex: '@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Variational
integrators of mixed order for dynamical systems with multiple time scales and
split potentials}, booktitle={ECCOMAS Congress 2016 - Proceedings of the 7th European
Congress on Computational Methods in Applied Sciences and Engineering}, author={Wenger,
T. and Ober-Blöbaum, Sina and Leyendecker, S. }, year={2016}, pages={1818–1831}
}'
chicago: Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Integrators
of Mixed Order for Dynamical Systems with Multiple Time Scales and Split Potentials.”
In ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering, 1818–31, 2016.
ieee: T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators of
mixed order for dynamical systems with multiple time scales and split potentials,”
in ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering, 2016, pp. 1818–1831.
mla: Wenger, T., et al. “Variational Integrators of Mixed Order for Dynamical Systems
with Multiple Time Scales and Split Potentials.” ECCOMAS Congress 2016 - Proceedings
of the 7th European Congress on Computational Methods in Applied Sciences and
Engineering, 2016, pp. 1818–31.
short: 'T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Congress 2016 -
Proceedings of the 7th European Congress on Computational Methods in Applied Sciences
and Engineering, 2016, pp. 1818–1831.'
conference:
end_date: 2016-06-10
start_date: 2016-06-05
date_created: 2022-01-19T10:37:22Z
date_updated: 2022-01-21T14:12:34Z
department:
- _id: '636'
language:
- iso: eng
page: 1818-1831
publication: ECCOMAS Congress 2016 - Proceedings of the 7th European Congress on Computational
Methods in Applied Sciences and Engineering
status: public
title: Variational integrators of mixed order for dynamical systems with multiple
time scales and split potentials
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29432'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'S. '
full_name: 'Leyendecker, S. '
last_name: Leyendecker
citation:
ama: 'Wenger T, Ober-Blöbaum S, Leyendecker S. Constrained Galerkin variational
integrators and modified constrained symplectic Runge-Kutta methods. In: International
Conference of Numerical Analysis and Applied Mathematics (ICNAAM). ; 2016.'
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Constrained Galerkin
variational integrators and modified constrained symplectic Runge-Kutta methods.
International Conference of Numerical Analysis and Applied Mathematics (ICNAAM).
bibtex: '@inproceedings{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Constrained
Galerkin variational integrators and modified constrained symplectic Runge-Kutta
methods}, booktitle={International Conference of Numerical Analysis and Applied
Mathematics (ICNAAM)}, author={Wenger, T. and Ober-Blöbaum, Sina and Leyendecker,
S. }, year={2016} }'
chicago: Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Constrained Galerkin
Variational Integrators and Modified Constrained Symplectic Runge-Kutta Methods.”
In International Conference of Numerical Analysis and Applied Mathematics (ICNAAM),
2016.
ieee: T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Constrained Galerkin variational
integrators and modified constrained symplectic Runge-Kutta methods,” 2016.
mla: Wenger, T., et al. “Constrained Galerkin Variational Integrators and Modified
Constrained Symplectic Runge-Kutta Methods.” International Conference of Numerical
Analysis and Applied Mathematics (ICNAAM), 2016.
short: 'T. Wenger, S. Ober-Blöbaum, S. Leyendecker, in: International Conference
of Numerical Analysis and Applied Mathematics (ICNAAM), 2016.'
conference:
end_date: 2016-09-25
start_date: 2016-09-19
date_created: 2022-01-19T10:13:21Z
date_updated: 2022-01-21T14:04:42Z
department:
- _id: '636'
language:
- iso: eng
publication: International Conference of Numerical Analysis and Applied Mathematics
(ICNAAM)
status: public
title: Constrained Galerkin variational integrators and modified constrained symplectic
Runge-Kutta methods
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29433'
author:
- first_name: Sebastian
full_name: Peitz, Sebastian
id: '47427'
last_name: Peitz
orcid: 0000-0002-3389-793X
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: M.
full_name: Dellnitz, M.
last_name: Dellnitz
citation:
ama: 'Peitz S, Ober-Blöbaum S, Dellnitz M. Reduced order model based multiobjective
optimal control of fluids. In: Proceedings of International Congress of Theoretical
and Applied Mechanics. ; 2016.'
apa: Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2016). Reduced order model
based multiobjective optimal control of fluids. Proceedings of International
Congress of Theoretical and Applied Mechanics.
bibtex: '@inproceedings{Peitz_Ober-Blöbaum_Dellnitz_2016, title={Reduced order model
based multiobjective optimal control of fluids}, booktitle={Proceedings of International
Congress of Theoretical and Applied Mechanics}, author={Peitz, Sebastian and Ober-Blöbaum,
Sina and Dellnitz, M.}, year={2016} }'
chicago: Peitz, Sebastian, Sina Ober-Blöbaum, and M. Dellnitz. “Reduced Order Model
Based Multiobjective Optimal Control of Fluids.” In Proceedings of International
Congress of Theoretical and Applied Mechanics, 2016.
ieee: S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Reduced order model based multiobjective
optimal control of fluids,” 2016.
mla: Peitz, Sebastian, et al. “Reduced Order Model Based Multiobjective Optimal
Control of Fluids.” Proceedings of International Congress of Theoretical and
Applied Mechanics, 2016.
short: 'S. Peitz, S. Ober-Blöbaum, M. Dellnitz, in: Proceedings of International
Congress of Theoretical and Applied Mechanics, 2016.'
conference:
end_date: 2016-08-26
start_date: 2016-08-21
date_created: 2022-01-19T10:17:09Z
date_updated: 2022-01-21T14:05:53Z
department:
- _id: '636'
language:
- iso: eng
publication: Proceedings of International Congress of Theoretical and Applied Mechanics
status: public
title: Reduced order model based multiobjective optimal control of fluids
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '29436'
author:
- first_name: 'B. '
full_name: 'Stellato, B. '
last_name: Stellato
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: 'P.J. '
full_name: 'Goulart, P.J. '
last_name: Goulart
citation:
ama: 'Stellato B, Ober-Blöbaum S, Goulart PJ. Optimal control of switching times
in switched linear systems. In: 2016 IEEE 55th Conference on Decision and Control
(CDC). ; 2016:7228-7233.'
apa: Stellato, B., Ober-Blöbaum, S., & Goulart, P. J. (2016). Optimal control
of switching times in switched linear systems. 2016 IEEE 55th Conference on
Decision and Control (CDC), 7228–7233.
bibtex: '@inproceedings{Stellato_Ober-Blöbaum_Goulart_2016, title={Optimal control
of switching times in switched linear systems}, booktitle={2016 IEEE 55th Conference
on Decision and Control (CDC)}, author={Stellato, B. and Ober-Blöbaum, Sina and
Goulart, P.J. }, year={2016}, pages={7228–7233} }'
chicago: Stellato, B. , Sina Ober-Blöbaum, and P.J. Goulart. “Optimal Control of
Switching Times in Switched Linear Systems.” In 2016 IEEE 55th Conference on
Decision and Control (CDC), 7228–33, 2016.
ieee: B. Stellato, S. Ober-Blöbaum, and P. J. Goulart, “Optimal control of switching
times in switched linear systems,” in 2016 IEEE 55th Conference on Decision
and Control (CDC), 2016, pp. 7228–7233.
mla: Stellato, B., et al. “Optimal Control of Switching Times in Switched Linear
Systems.” 2016 IEEE 55th Conference on Decision and Control (CDC), 2016,
pp. 7228–33.
short: 'B. Stellato, S. Ober-Blöbaum, P.J. Goulart, in: 2016 IEEE 55th Conference
on Decision and Control (CDC), 2016, pp. 7228–7233.'
date_created: 2022-01-19T10:41:04Z
date_updated: 2022-01-21T14:14:00Z
department:
- _id: '636'
language:
- iso: eng
page: 7228-7233
publication: 2016 IEEE 55th Conference on Decision and Control (CDC)
status: public
title: Optimal control of switching times in switched linear systems
type: conference
user_id: '15694'
year: '2016'
...
---
_id: '20101'
author:
- first_name: T.
full_name: Wenger, T.
last_name: Wenger
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: S.
full_name: Leyendecker, S.
last_name: Leyendecker
citation:
ama: Wenger T, Ober-Blöbaum S, Leyendecker S. Variational integrators of higher
order for constrained dynamical systems. PAMM. 2016;16(1):775-776. doi:10.1002/pamm.201610376
apa: Wenger, T., Ober-Blöbaum, S., & Leyendecker, S. (2016). Variational integrators
of higher order for constrained dynamical systems. PAMM, 16(1),
775–776. https://doi.org/10.1002/pamm.201610376
bibtex: '@article{Wenger_Ober-Blöbaum_Leyendecker_2016, title={Variational integrators
of higher order for constrained dynamical systems}, volume={16(1)}, DOI={10.1002/pamm.201610376},
journal={PAMM}, publisher={WILEY-VCH Verlag}, author={Wenger, T. and Ober-Blöbaum,
Sina and Leyendecker, S.}, year={2016}, pages={775–776} }'
chicago: 'Wenger, T., Sina Ober-Blöbaum, and S. Leyendecker. “Variational Integrators
of Higher Order for Constrained Dynamical Systems.” PAMM 16(1) (2016):
775–76. https://doi.org/10.1002/pamm.201610376.'
ieee: 'T. Wenger, S. Ober-Blöbaum, and S. Leyendecker, “Variational integrators
of higher order for constrained dynamical systems,” PAMM, vol. 16(1), pp.
775–776, 2016, doi: 10.1002/pamm.201610376.'
mla: Wenger, T., et al. “Variational Integrators of Higher Order for Constrained
Dynamical Systems.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 775–76,
doi:10.1002/pamm.201610376.
short: T. Wenger, S. Ober-Blöbaum, S. Leyendecker, PAMM 16(1) (2016) 775–776.
date_created: 2020-10-15T15:59:03Z
date_updated: 2022-01-24T08:04:51Z
doi: 10.1002/pamm.201610376
language:
- iso: eng
page: 775-776
publication: PAMM
publication_identifier:
issn:
- 1617-7061
publisher: WILEY-VCH Verlag
status: public
title: Variational integrators of higher order for constrained dynamical systems
type: journal_article
user_id: '15694'
volume: 16(1)
year: '2016'
...
---
_id: '20105'
author:
- first_name: J.C.
full_name: Mergel, J.C.
last_name: Mergel
- first_name: R.A.
full_name: Sauer, R.A.
last_name: Sauer
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Mergel JC, Sauer RA, Ober-Blöbaum S. C1-continuous time integration based on
cubic Hermite interpolation. PAMM. 2016;16(1):753-754. doi:10.1002/pamm.201610365
apa: Mergel, J. C., Sauer, R. A., & Ober-Blöbaum, S. (2016). C1-continuous time
integration based on cubic Hermite interpolation. PAMM, 16(1), 753–754.
https://doi.org/10.1002/pamm.201610365
bibtex: '@article{Mergel_Sauer_Ober-Blöbaum_2016, title={C1-continuous time integration
based on cubic Hermite interpolation}, volume={16(1)}, DOI={10.1002/pamm.201610365},
journal={PAMM}, publisher={WILEY-VCH Verlag}, author={Mergel, J.C. and Sauer,
R.A. and Ober-Blöbaum, Sina}, year={2016}, pages={753–754} }'
chicago: 'Mergel, J.C., R.A. Sauer, and Sina Ober-Blöbaum. “C1-Continuous Time Integration
Based on Cubic Hermite Interpolation.” PAMM 16(1) (2016): 753–54. https://doi.org/10.1002/pamm.201610365.'
ieee: 'J. C. Mergel, R. A. Sauer, and S. Ober-Blöbaum, “C1-continuous time integration
based on cubic Hermite interpolation,” PAMM, vol. 16(1), pp. 753–754, 2016,
doi: 10.1002/pamm.201610365.'
mla: Mergel, J. C., et al. “C1-Continuous Time Integration Based on Cubic Hermite
Interpolation.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 753–54, doi:10.1002/pamm.201610365.
short: J.C. Mergel, R.A. Sauer, S. Ober-Blöbaum, PAMM 16(1) (2016) 753–754.
date_created: 2020-10-15T15:59:08Z
date_updated: 2022-01-24T07:59:35Z
doi: 10.1002/pamm.201610365
language:
- iso: eng
page: 753-754
publication: PAMM
publication_identifier:
issn:
- 1617-7061
publisher: WILEY-VCH Verlag
status: public
title: C1-continuous time integration based on cubic Hermite interpolation
type: journal_article
user_id: '15694'
volume: 16(1)
year: '2016'
...
---
_id: '20103'
author:
- first_name: M.
full_name: Ringkamp, M.
last_name: Ringkamp
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
- first_name: S.
full_name: Leyendecker, S.
last_name: Leyendecker
citation:
ama: Ringkamp M, Ober-Blöbaum S, Leyendecker S. Time transformed mixed integer optimal
control problems with impacts. PAMM. 2016;16(1):789-790. doi:10.1002/pamm.201610383
apa: Ringkamp, M., Ober-Blöbaum, S., & Leyendecker, S. (2016). Time transformed
mixed integer optimal control problems with impacts. PAMM, 16(1),
789–790. https://doi.org/10.1002/pamm.201610383
bibtex: '@article{Ringkamp_Ober-Blöbaum_Leyendecker_2016, title={Time transformed
mixed integer optimal control problems with impacts}, volume={16(1)}, DOI={10.1002/pamm.201610383}, journal={PAMM},
publisher={WILEY-VCH Verlag}, author={Ringkamp, M. and Ober-Blöbaum, Sina and
Leyendecker, S.}, year={2016}, pages={789–790} }'
chicago: 'Ringkamp, M., Sina Ober-Blöbaum, and S. Leyendecker. “Time Transformed
Mixed Integer Optimal Control Problems with Impacts.” PAMM 16(1) (2016):
789–90. https://doi.org/10.1002/pamm.201610383.'
ieee: 'M. Ringkamp, S. Ober-Blöbaum, and S. Leyendecker, “Time transformed mixed
integer optimal control problems with impacts,” PAMM, vol. 16(1), pp. 789–790,
2016, doi: 10.1002/pamm.201610383.'
mla: Ringkamp, M., et al. “Time Transformed Mixed Integer Optimal Control Problems
with Impacts.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 789–90, doi:10.1002/pamm.201610383.
short: M. Ringkamp, S. Ober-Blöbaum, S. Leyendecker, PAMM 16(1) (2016) 789–790.
date_created: 2020-10-15T15:59:05Z
date_updated: 2022-01-24T08:03:34Z
doi: 10.1002/pamm.201610383
language:
- iso: eng
page: 789-790
publication: PAMM
publication_identifier:
issn:
- 1617-7061
publisher: WILEY-VCH Verlag
status: public
title: Time transformed mixed integer optimal control problems with impacts
type: journal_article
user_id: '15694'
volume: 16(1)
year: '2016'
...
---
_id: '20104'
author:
- first_name: Sina
full_name: Ober-Blöbaum, Sina
id: '16494'
last_name: Ober-Blöbaum
citation:
ama: Ober-Blöbaum S. Higher order variational integrators in optimal control theory.
PAMM. 2016;16(1):821-822. doi:10.1002/pamm.201610399
apa: Ober-Blöbaum, S. (2016). Higher order variational integrators in optimal control
theory. PAMM, 16(1), 821–822. https://doi.org/10.1002/pamm.201610399
bibtex: '@article{Ober-Blöbaum_2016, title={Higher order variational integrators
in optimal control theory}, volume={16(1)}, DOI={10.1002/pamm.201610399},
journal={PAMM}, publisher={WILEY-VCH Verlag}, author={Ober-Blöbaum, Sina}, year={2016},
pages={821–822} }'
chicago: 'Ober-Blöbaum, Sina. “Higher Order Variational Integrators in Optimal Control
Theory.” PAMM 16(1) (2016): 821–22. https://doi.org/10.1002/pamm.201610399.'
ieee: 'S. Ober-Blöbaum, “Higher order variational integrators in optimal control
theory,” PAMM, vol. 16(1), pp. 821–822, 2016, doi: 10.1002/pamm.201610399.'
mla: Ober-Blöbaum, Sina. “Higher Order Variational Integrators in Optimal Control
Theory.” PAMM, vol. 16(1), WILEY-VCH Verlag, 2016, pp. 821–22, doi:10.1002/pamm.201610399.
short: S. Ober-Blöbaum, PAMM 16(1) (2016) 821–822.
date_created: 2020-10-15T15:59:07Z
date_updated: 2022-01-24T08:01:34Z
doi: 10.1002/pamm.201610399
language:
- iso: eng
page: 821-822
publication: PAMM
publication_identifier:
issn:
- 1617-7061
publisher: WILEY-VCH Verlag
status: public
title: Higher order variational integrators in optimal control theory
type: journal_article
user_id: '15694'
volume: 16(1)
year: '2016'
...