Optimal control, contact dynamics and Herglotz variational problem
Optimization and Control
2020-06-26 v1 Mathematical Physics
math.MP
Abstract
In this paper we combine two main topics in mechanics and optimal control theory: contact Hamiltonian systems and Pontryagin Maximum Principle. As an important result, among others, we develop a contact Pontryagin Maximum Principle that permits to deal with optimal control problems with dissipation. We also consider the Herglotz optimal control problem, which is simultaneously a generalization of the Herglotz variational principle and an optimal control problem. An application to the study of a thermodynamic system is provided.
Cite
@article{arxiv.2006.14326,
title = {Optimal control, contact dynamics and Herglotz variational problem},
author = {Manuel de León and Manuel Lainz and Miguel C. Muñoz-Lecanda},
journal= {arXiv preprint arXiv:2006.14326},
year = {2020}
}