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93 Publications


2020 | Journal Article | LibreCat-ID: 19938
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation
R.I. McLachlan, C. Offen, Foundations of Computational Mathematics 20 (2020) 1363–1400.
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2020 | Journal Article | LibreCat-ID: 19939 | OA
Detection of high codimensional bifurcations in variational PDEs
L.M. Kreusser, R.I. McLachlan, C. Offen, Nonlinearity 33 (2020) 2335–2363.
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2020 | Journal Article | LibreCat-ID: 29399
Variational integrators for dissipative systems
D.J.N. Limebeer, S. Ober-Blöbaum, F.H. Farshi, IEEE Transactions on Automatic Control 65(4) (2020) 1381–1396.
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2020 | Journal Article | LibreCat-ID: 29398
Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping
C.I.O. Hernández Castellanos, G. Schütze, J.-Q. Sun, S. Ober-Blöbaum, G. Morales-Luna, Mathematics 8(11):1959 (2020).
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2020 | Conference Paper | LibreCat-ID: 29422
A multirate variational approach to simulation and optimal control for flexible spacecraft
Y. Lishkova, S. Ober-Blöbaum, M. Cannon, S. Leyendecker, in: Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe, 2020.
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2020 | Conference Paper | LibreCat-ID: 29423
A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Conference Paper | LibreCat-ID: 29424
Modelling of the convection-diffusion equation through fractional restricted calculus of variations
J. Cresson, F. Jiménez, S. Ober-Blöbaum, in: 24th International Symposium on Mathematical Theory of Networks and Systems, 2020.
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2020 | Journal Article | LibreCat-ID: 29545
On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry
F. Jean, S. Maslovskaya, I. Zelenko, Geometriae Dedicata 213 (2020) 295–314.
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2020 | Conference Abstract | LibreCat-ID: 29546 | OA
The turnpike property in maximization of microbial metabolite production
S. Maslovskaya, J.-B. Caillau, W. Djema, L. Giraldi, J.-L. Jean-Luc, J.-B. Pomet, in: 2020.
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2020 | Book Chapter | LibreCat-ID: 29413
Symmetry in optimal control: A multiobjective model predictive control approach
K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 209–237.
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2019 | Journal Article | LibreCat-ID: 19945 | OA
Symplectic integration of PDEs using Clebsch variables
R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130.
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2019 | Conference Paper | LibreCat-ID: 29867
Towards velocity turnpikes in optimal control of mechanical systems
T. Faulwasser, K. Flaßkamp, S. Ober-Blöbaum, K. Worthmann, in: IFAC-PapersOnLine (Ed.), 2019, pp. 490–495.
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2018 | Journal Article | LibreCat-ID: 19935
Bifurcation of solutions to Hamiltonian boundary value problems
R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.
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2018 | Journal Article | LibreCat-ID: 19937
Symplectic integration of boundary value problems
R.I. McLachlan, C. Offen, Numerical Algorithms (2018) 1219–1233.
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2018 | Conference Paper | LibreCat-ID: 29425
Necessary optimality conditions for optimally controlled dissipative mechanical systems modelled through fractional derivatives
F. Jiménez, S. Ober-Blöbaum, in: 6th European Conference on Computational Mechanics, 2018.
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2018 | Conference Paper | LibreCat-ID: 29427
A fractional variational approach for modelling dissipative mechanical systems continuous and discrete settings
F. Jiménez, S. Ober-Blöbaum, in: IFAC-PapersOnLine (Ed.), 6th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control LHMNC 2018, 2018, pp. 50–55.
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2018 | Preprint | LibreCat-ID: 19940 | OA LibreCat | Files available | arXiv
 

2018 | Journal Article | LibreCat-ID: 19943 | OA
Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci
R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2017 | Conference Paper | LibreCat-ID: 29430
Variational multirate integration in discrete mechanics and optimal control
T. Gail, S. Ober-Blöbaum, S. Leyendecker, in: ECCOMAS Thematic Conference on Multibody Dynamics, 2017.
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2016 | Conference Paper | LibreCat-ID: 29435
Variational integrators of mixed order for dynamical systems with multiple time scales and split potentials
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.
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