On hybrid impulsive and switching systems and application to nonlinear control

被引：383

作者：

Guan, ZH ^{[1
]}

Hill, DJ

Shen, XM

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

[2] Australian Natl Univ, Dept Informat Engn, Canberra, ACT 0200, Australia

[3] Univ Waterloo, Dept Elect & Comp Engn, Waterloo, ON N2L 3G1, Canada

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 07期

基金：

中国国家自然科学基金;

关键词：

chaos control; exponential stability; hybrid systems; impulsive and switching systems; switched Lyapunov function;

D O I：

10.1109/TAC.2005.851462

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 [计算机科学与技术];

摘要：

In this note, a new class of hybrid impulsive and switching models is introduced and their asymptotic stability properties are investigated. Using switched Lyapunov functions, some new general criteria for exponential stability and asymptotic stability with arbitrary and conditioned impulsive switching are established. In addition, a new hybrid impulsive and switching control strategy for nonlinear systems is developed. A typical example, the unified chaotic system, is given to illustrate the theoretical results.

引用

页码：1058 / 1062

页数：5

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