Optimal Control, Contact Dynamics and Herglotz Variational Problem

被引：10

作者：

de Leon, Manuel ^{[1
,2
]}

Lainz, Manuel ^{[1
]}

Munoz-Lecanda, Miguel C. ^{[3
]}

机构：

[1] Inst Ciencias Matemat CSIC UAM UC3M UCM, Madrid, Spain

[2] Real Acad Ciencias Exactas Fis & Nat, Madrid, Spain

[3] Univ Politecn Cataluna, Dept Math, Barcelona, Spain

来源：

JOURNAL OF NONLINEAR SCIENCE | 2023年 / 33卷 / 01期

关键词：

Contact Hamioltonian systems; Optimal control; Herglotz principle; Presymplectic systems; Pontryagin maximum principle; MECHANICAL SYSTEMS; CONSTRAINTS; SYMMETRIES;

D O I：

10.1007/s00332-022-09861-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：46

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