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arXiv · 2006.14326

Optimal control, contact dynamics and Herglotz variational problem

Manuel de León·Manuel Lainz·Miguel C. Muñoz-Lecanda
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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.

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Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda. 2020-06-25. Optimal control, contact dynamics and Herglotz variational problem. https://arxiv.org/abs/2006.14326

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