Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply

Attila Karsai

Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply

Optimization and Control 2023-01-24 v1

Authors: Attila Karsai

Abstract

Turnpike phenomena of nonlinear port-Hamiltonian descriptor systems under minimal energy supply are studied. Under assumptions on the smoothness of the system nonlinearities, it is shown that the optimal control problem is dissipative with respect to a manifold. Then, under controllability assumptions, it is shown that the optimal control problem exhibits a manifold turnpike property.

Keywords

turnpike phenomena port-Hamiltonian descriptor systems minimal energy supply dissipative optimal control manifold turnpike nonlinear systems controllability

Cite

@article{arxiv.2301.09094,
  title  = {Manifold turnpikes of nonlinear port-Hamiltonian descriptor systems under minimal energy supply},
  author = {Attila Karsai},
  journal= {arXiv preprint arXiv:2301.09094},
  year   = {2023}
}

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