On optimal control problems of a class of impulsive switching systems with terminal states constraints

被引：18

作者：

Gao, Rui ^{[2
]}

Liu, Xinzhi ^{[1
]}

Yang, Jinlin ^{[3
]}

机构：

[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[2] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

[3] Inner Mongolia Univ Sci & Technol, Sch Math Phys & Biol Engn, Baotou 014010, Inner Mongolia, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 07期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会; 中国博士后科学基金;

关键词：

A switching system with jumps; Hybrid impulse and switching systems (HISS); Global optimal control; Ekeland's variational principle; HYBRID SYSTEMS; DYNAMICAL-SYSTEMS; STABILITY THEORY; CONTROLLABILITY; DESIGN; MODEL;

D O I：

10.1016/j.na.2010.05.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global optimal control problem is proposed for a special class of hybrid dynamical systems, i.e. impulsive switching systems. Then the necessary condition of the above problem, the minimum principle, is given. Ekeland's variational principle and the matrix cost functional structure expression are utilized in the process of the proof. Based on the main result, a special linear hybrid impulsive and switching system (HISS) is illustrated and the optimal control algorithm is presented. Moreover, the cases of pure impulsive systems and pure switched systems are included in this paper. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1940 / 1951

页数：12

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