Stability and stabilization of a class of switched nonlinear systems with time-varying delay

This paper investigates the problems of exponential stability and robust stabilization for a class of switched nonlinear systems with time-varying delay. Using the average dwell time method, a new exponential stability criterion is derived in terms of linear matrix inequalities (LMIs). It is shown t...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 218; no. 23; pp. 11534 - 11546
Main Authors Liu, Shilong, Xiang, Zhengrong, Chen, Qingwei
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.08.2012
Subjects
Exponential stability
Gronwall–Bellman inequality
Robust stabilization
Switched nonlinear systems
Time-varying delay
Robust stabilization
Gronwall–Bellman inequality
Switched nonlinear systems
Exponential stability
Time-varying delay
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Summary:This paper investigates the problems of exponential stability and robust stabilization for a class of switched nonlinear systems with time-varying delay. Using the average dwell time method, a new exponential stability criterion is derived in terms of linear matrix inequalities (LMIs). It is shown that the obtained criteria can provide less conservative results than some existing ones. Then, we propose a state feedback control law which ensures the exponential stability of the closed-loop system. Finally, numerical examples are given to illustrate the effectiveness of the proposed results.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2012.04.083