Optimal control, contact dynamics and Herglotz variational problem Articles uri icon

authors

  • LEON RODRIGUEZ, MANUEL DE
  • LAINZ, MANUEL
  • MUÑOZ LECANDA, MIGUEL C.

publication date

  • February 2023

start page

  • 1

end page

  • 46

issue

  • 1, 9

volume

  • 33

International Standard Serial Number (ISSN)

  • 0938-8974

Electronic International Standard Serial Number (EISSN)

  • 1432-1467

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.

subjects

  • Mathematics

keywords

  • contact hamioltonian systems; herglotz principle; optimal control; pontryagin maximum principle; presymplectic systems