Abel lemma-based finite-sum inequality and its application to stability analysis for linear discrete time-delay systems

被引：181

作者：

Zhang, Xian-Ming ^{[1
]}

Han, Qing-Long ^{[1
]}

机构：

[1] Griffith Univ, Griffith Sch Engn, Nathan, Qld 4222, Australia

来源：

AUTOMATICA | 2015年 / 57卷

基金：

澳大利亚研究理事会;

关键词：

Linear discrete system; Time-delay system; Stability; Finite-sum inequality; Abel lemma; ROBUST STABILITY; VARYING DELAY; STABILIZATION; CRITERIA; STATE;

D O I：

10.1016/j.automatica.2015.04.019

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 is concerned with stability of linear discrete time-delay systems. Note that a tighter estimation on a finite-sum term appearing in the forward difference of some Lyapunov functional leads to a less conservative delay-dependent stability criterion. By using Abel lemma, a novel finite-sum inequality is established, which can provide a tighter estimation than the ones in the literature for the finite-sum term. Applying this Abel lemma-based finite-sum inequality, a stability criterion for linear discrete time-delay systems is derived. It is shown through numerical examples that the stability criterion can provide a larger admissible maximum upper bound than stability criteria using a Jensen-type inequality approach and a free-weighting matrix approach. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：199 / 202

页数：4

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