Brief paper: asynchronous stabilisation of impulsive switched systems

Author

Bo Wang ; Hongbin Zhang ; Dehua Xie ; Gang Wang ; Chuangyin Dang

Author_Institution

Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol. of China, Chengdu, China

Volume

7

Issue

16

fYear

2013

fDate

November 7 2013

Firstpage

2021

Lastpage

2027

Abstract

In this study, the authors mainly deal with the asynchronous stabilisation problem for a class of continuous-time impulsive switched systems. By using multiple Lyapunov functions combined with mode-dependent average dwell time, the exponential stability sufficient condition of closed-loop systems is derived. Based on the stability result, the problem of asynchronous stabilisation is solved under a proper control law. Moreover, the stability and stabilisation results are formulated in the form of linear matrix inequalities that are numerical feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained results.

Keywords

Lyapunov methods; asymptotic stability; closed loop systems; continuous time systems; linear matrix inequalities; numerical analysis; time-varying systems; asynchronous stabilisation; closed-loop systems; continuous-time impulsive switched systems; exponential stability; impulsive switched systems; linear matrix inequalities; multiple Lyapunov functions;

fLanguage

English

Journal_Title

Control Theory & Applications, IET

Publisher

iet

ISSN

1751-8644

Type

jour

DOI

10.1049/iet-cta.2013.0229

Filename

6668523