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

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• 作者：M.J. Park^a ; O.M. Kwon^a ; ^{madwind@chungbuk.ac.kr} ; S.G. Choi^b
• 关键词：Systems with time-delays ; Switching ; Stability analysis ; Lyapunov method
• 刊名：Nonlinear Analysis: Hybrid Systems
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：23
• 期：Complete
• 页码：76-90
• 全文大小：526 K
• 卷排序：23

文摘

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 ∑s=abxT(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.