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.
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页数：46
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