Robust Stability Criterion for Discrete-Time Nonlinear Switched Systems with Randomly Occurring Delays via T-S Fuzzy Approach

被引：28

作者：

Balasubramaniam, P. ^{[1
]}

Banu, L. Jarina ^{[1
]}

机构：

[1] Gandhigram Rural Inst Deemed Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India

来源：

COMPLEXITY | 2015年 / 20卷 / 06期

关键词：

discrete-time switched fuzzy systems; exponential stability; randomly occurring delays; Lyapunov-Krasovskii functional; linear matrix inequality; H-INFINITY CONTROL; EXPONENTIAL STABILITY; FEEDBACK CONTROL; NEURAL-NETWORKS; STABILIZATION;

D O I：

10.1002/cplx.21530

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article investigates exponential stability of uncertain discrete-time nonlinear switched systems with parameter uncertainties and randomly occurring delays via Takagi-Sugeno fuzzy approach. The randomness of time-varying delay is characterized by introducing a Bernoulli stochastic variable that follows certain probability distribution. By adopting the average dwell-time approach with Lyapunov-Krasovskii functional and using convex reciprocal lemma, delay-dependent sufficient conditions for exponential stability of the switched fuzzy system are derived in terms of linear matrix inequalities (LMIs), which can be solved readily using any LMI solvers. Finally, illustrative examples are provided to demonstrate the effectiveness of the proposed approach. (c) 2014 Wiley Periodicals, Inc. Complexity 20: 49-61, 2015

引用

页码：49 / 61

页数：13

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