Stability analysis of discrete-time switched systems with time-varying delays via a new summation inequality

被引：47
|
作者：
Park, M. J. [1 ]
Kwon, O. M. [1 ]
Choi, S. G. [2 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect Engn, 1 Chungdae Ro, Cheongju 28644, South Korea
[2] Chungbuk Natl Univ, Sch Informat & Commun Engn, 1 Chungdae Ro, Cheongju 28644, South Korea
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 23卷
基金：
新加坡国家研究基金会;
关键词：
Systems with time-delays; Switching; Stability analysis; Lyapunov method; ROBUST STABILITY; STABILIZATION;
D O I：
10.1016/j.nahs.2016.08.001
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper proposes a new summation inequality, which improves the conservatism in the stability analysis for discrete-time systems with time-varying delay. In order to show the effectiveness of the proposed inequality, which provides general lower bound of the summation quadratic term of the form Sigma(b)(s=a) X-T (S)MX(S), a delay-dependent stability criterion for such systems is derived within the framework of linear matrix inequalities (LMIs). Going one step forward, the proposed inequality is applied to a stability problem in discrete-time switched systems with time-varying delays. The advantages of employing the proposed summation inequality are illustrated via three numerical examples. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：76 / 90
页数：15
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