On Stability of Switched Time-Delay Systems Subject to Nonlinear Stochastic Perturbations

被引：5

作者：

Chen, Yun ^{[1
]}

Zheng, Wei Xing ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China

[2] Univ Western Sydney, Sch Comp & Math, Campbelltown, NSW 1797, Australia

来源：

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2010年

基金：

澳大利亚研究理事会; 中国国家自然科学基金;

关键词：

DEPENDENT EXPONENTIAL STABILITY; LINEAR-SYSTEMS; VARYING DELAY;

D O I：

10.1109/CDC.2010.5717029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we investigate the problem of exponential stability for a class of switched time-delay systems subject to nonlinear stochastic perturbations. The multiple Lyapunov functionals approach is utilized to derive new mean-square exponential and almost sure exponential stability conditions for the switched time-delay systems under consideration. In particular, the generalized Finsler Lemma (GFL), which is applicable to time-delay systems in the stochastic framework, plays a central role in the derivation so that neither model transformations nor free-weighting matrices are required. Numerical examples are included to illustrate the performance of the proposed method.

引用

页码：2644 / 2649

页数：6

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