Optimal control, contact dynamics and Herglotz variational problem
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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.
CitationDe Leó, M.; Lainz, M.; Muñoz-Lecanda, M.C. Optimal control, contact dynamics and Herglotz variational problem. "Journal of nonlinear science", 11 Novembre 2022, vol. 33, núm. article 9.