The maximum principle for the optimal control of some linear switching controlled ordinary differential equations

被引：0

作者：

Zheng, Guojie ^{[1
]}

Li, Juntao ^{[1
]}

Wang, Xiaoyu ^{[1
]}

机构：

[1] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China

来源：

PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2012年

关键词：

Pontryagain maximum principle; controlled linear ordinary different equations;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we analyze the problem of switching controls for control systems endowed with different actuators. The goal is to control the system by switching from an actuator to the other so that, in each instant of time, only one actuator is active. We first address a finite-dimensional model and show that, under suitable rank conditions, the controllability for the switching controls system without the controls constraint. Then, we studies a time optimal control problem (P) for the switching controlled systems. With the aid of Ekeland's variational principle, we obtain the Pontryagain maximum principle for this problem.

引用

页码：3158 / 3161

页数：4

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