Robust exponential admissibility of uncertain switched singular time-delay systems

被引：40

作者：

Lin J.-X. ^{[1
,2
]}

Fei S.-M. ^{[1
]}

机构：

[1] Key Laboratory of Measurement and Control of Complex Systems of Engineering, Ministry of Education, Southeast University

[2] College of Automation, Nanjing University of Posts and Telecommunications

来源：

Zidonghua Xuebao/Acta Automatica Sinica | 2010年 / 36卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Average dwell time; Exponential stability; Switched singular system; Time-varying delay;

D O I：

10.3724/SP.J.1004.2010.01773

中图分类号：

学科分类号：

摘要：

This paper investigates the problem of robust exponential admissibility for a class of continuous-time uncertain switched singular systems with interval time-varying delay. By defining a properly constructed decay-rate-dependent Lyapunov function and the average dwell time approach, a delay-range-dependent sufficient condition is derived for the nominal system to be regular, impulse free, and exponentially stable. This condition is also extended to uncertain case. The obtained results provide a solution to one of the basic problems in continuoustime switched singular time-delay systems, that is, to identify a switching signal for which the switched singular time-delay system is regular, impulse free, and exponentially stable. Numerical examples are given to demonstrate the effectiveness of the obtained results. Copyright © 2010 Acta Automatica Sinica. All rights reserved.

引用

页码：1773 / 1779

页数：6

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