---
_id: '65744'
abstract:
- lang: eng
  text: 'Optimal control problems with symmetries often admit a non stationary turnpike
    property called trim turnpike, which characterizes the convergence of optimal
    solutions to certain symmetry induced trajectories called trim primitives. In
    this paper we establish an exponential trim turnpike property for a class of optimal
    control problems with structural properties related to Abelian Lie group symmetries.
    The key ingredient of our approach is the introduction of an appropriate reduced
    optimal control problem. We show that extremals of the original problem can be
    characterized through a reduced Hamiltonian boundary value problem that coincides
    with the optimality system of the reduced problem. Under a hyperbolicity assumption
    on the equilibrium of the corresponding reduced Hamiltonian system we prove that
    optimal trajectories remain exponentially close, up to boundary layers near the
    endpoints, to a trim primitive defined by the static reduced problem. The theoretical
    results are illustrated on three representative examples: linear and nonlinear
    problems with quadratic cost and the Kepler orbital transfer problem.'
author:
- first_name: Sofya
  full_name: Maslovskaya, Sofya
  id: '87909'
  last_name: Maslovskaya
- first_name: Sina
  full_name: Ober-Blöbaum, Sina
  id: '16494'
  last_name: Ober-Blöbaum
- first_name: Boris Edgar
  full_name: Wembe Moafo, Boris Edgar
  id: '95394'
  last_name: Wembe Moafo
  orcid: 0000-0002-6085-8071
citation:
  ama: Maslovskaya S, Ober-Blöbaum S, Wembe Moafo BE. Non static exponential turnpike
    property for optimal control problems with symmetries and boundary conditions.
  apa: Maslovskaya, S., Ober-Blöbaum, S., &#38; Wembe Moafo, B. E. (n.d.). <i>Non
    static exponential turnpike property for optimal control problems with symmetries
    and boundary conditions</i>.
  bibtex: '@article{Maslovskaya_Ober-Blöbaum_Wembe Moafo, title={Non static exponential
    turnpike property for optimal control problems with symmetries and boundary conditions},
    author={Maslovskaya, Sofya and Ober-Blöbaum, Sina and Wembe Moafo, Boris Edgar}
    }'
  chicago: Maslovskaya, Sofya, Sina Ober-Blöbaum, and Boris Edgar Wembe Moafo. “Non
    Static Exponential Turnpike Property for Optimal Control Problems with Symmetries
    and Boundary Conditions,” n.d.
  ieee: S. Maslovskaya, S. Ober-Blöbaum, and B. E. Wembe Moafo, “Non static exponential
    turnpike property for optimal control problems with symmetries and boundary conditions.”
    .
  mla: Maslovskaya, Sofya, et al. <i>Non Static Exponential Turnpike Property for
    Optimal Control Problems with Symmetries and Boundary Conditions</i>.
  short: S. Maslovskaya, S. Ober-Blöbaum, B.E. Wembe Moafo, (n.d.).
date_created: 2026-06-01T09:31:15Z
date_updated: 2026-06-01T09:35:13Z
department:
- _id: '94'
language:
- iso: eng
publication_status: submitted
status: public
title: Non static exponential turnpike property for optimal control problems with
  symmetries and boundary conditions
type: preprint
user_id: '95394'
year: '2026'
...