Robust stability and stabilization analysis for discrete-time randomly switched fuzzy systems with known sojourn probabilities

被引：27
|
作者：
Banu, L. Jarina [1 ]
Balasubramaniam, P. [1 ]
机构：
[1] Deemed Univ, Gandhigram Rural Inst, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2015年 / 17卷
关键词：
Fuzzy system models; Fuzzy control; Randomly occurring uncertainties; Stability; Lyapunov-Krasovskii functional; Linear matrix inequality; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; OCCURRING UNCERTAINTIES; NEURAL-NETWORKS; VARYING DELAYS; SYNCHRONIZATION; DESIGN; STABILIZABILITY;
D O I：
10.1016/j.nahs.2015.03.004
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The stability and stabilization analysis problem is considered in this paper for a class of discrete-time switched fuzzy systems with known sojourn probabilities. By using Lyapunov functional, new delay-dependent sufficient conditions are derived to ensure the stability of the system. Convex combination technique is incorporated and the stability criteria are presented in terms of Linear matrix inequalities (LMIs). Furthermore, the developed approach is extended to address the robust stability and stabilization analysis of the delayed discrete-time switched fuzzy systems with randomly occurring uncertainties. Finally numerical examples are exploited to substantiate the theoretical results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：128 / 143
页数：16
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