New delay-dependent stability result and its application to robust performance analysis for discrete-time systems with delay

被引：11

作者：

Zong, Guangdeng ^{[1
]}

Hou, Linlin ^{[1
]}

机构：

[1] Qufu Normal Univ, Res Inst Automat, Qufu 273165, Shandong, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2010年 / 27卷 / 03期

基金：

中国国家自然科学基金;

关键词：

discrete-time systems; time-varying delays; delay-dependent stability; H-infinity performance analysis; slack matrix variables; linear matrix inequality; H-INFINITY-CONTROL; STATE-DELAY; STABILIZATION; CRITERIA;

D O I：

10.1093/imamci/dnq016

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 problem of delay-dependent stability analysis for discrete-time systems with time-varying delay is addressed in this paper. By introducing a novel Lyapunov functional and a couple of slack matrix variables, new delay-dependent conditions are presented in terms of linear matrix inequality. Via the proposed method, delay-dependent results on robust performance analysis for discrete time-delay systems are also presented. Numerical examples are provided to show the reduced conservatism than the existing results.

引用

页码：373 / 386

页数：14

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