On parameterized Lyapunov-Krasovskii functional techniques for investigating singular time-delay systems

被引：21

作者：

Liu Li-Li ^{[1
,2
]}

Peng Ji-Gen ^{[1
]}

Wu Bao-Wei ^{[2
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Math, Fac Sci, Xian 710049, Peoples R China

[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 05期

关键词：

Singular system; Stability analysis; Lyapunov-Krasovskii functional; Linear matrix inequality; ROBUST STABILITY; DESCRIPTOR SYSTEMS; STATE-DELAY; STABILIZATION;

D O I：

10.1016/j.aml.2010.12.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of robust stability of a singular time-delay system is investigated. A novel Lyapunov-Krasovskii functional (LKF) is introduced which is a singular-type complete quadratic Lyapunov-Krasovskii functional with polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Numerical examples are given to illustrate the effectiveness and lower conservatism of the new proposed stability criterion. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：703 / 708

页数：6

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