论文标题
最佳控制，接触动力学和HERGLOTZ变分问题
Optimal control, contact dynamics and Herglotz variational problem
论文作者
论文摘要
在本文中，我们结合了机械和最佳控制理论的两个主要主题：接触哈密顿系统和庞特拉金的最大原理。作为重要的结果，我们开发了一种接触pontryagin的最大原则，该原理允许处理耗散的最佳控制问题。我们还考虑了Herglotz的最佳控制问题，该问题同时概括了Herglotz变化原理和最佳控制问题。提供了热力学系统研究的应用。
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.
