On hybrid impulsive and switching systems and application to nonlinear control

Author

Guan, Zhi-Hong ; Hill, David J. ; Shen, Xuemin

Author_Institution

Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China

Volume

50

Issue

7

fYear

2005

fDate

7/1/2005 12:00:00 AM

Firstpage

1058

Lastpage

1062

Abstract

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.

Keywords

Lyapunov methods; asymptotic stability; chaos; nonlinear control systems; time-varying systems; asymptotic stability; exponential stability; impulsive systems; nonlinear control; switched Lyapunov functions; switching systems; unified chaotic system; Asymptotic stability; Automatic control; Chaos; Control systems; Lyapunov method; Nonlinear control systems; Quantum entanglement; Quantum mechanics; Stability analysis; Switching systems; Chaos control; exponential stability; hybrid systems; impulsive and switching systems; switched Lyapunov function;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2005.851462

Filename

1463316