A new result on stability analysis for stochastic neutral systems

被引：112

作者：

Chen, Yun ^{[1
,2
]}

Zheng, Wei Xing ^{[1
]}

Xue, Anke ^{[2
]}

机构：

[1] Univ Western Sydney, Sch Comp & Math, Penrith, NSW 1797, Australia

[2] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Zhejiang, Peoples R China

来源：

AUTOMATICA | 2010年 / 46卷 / 12期

基金：

中国国家自然科学基金; 澳大利亚研究理事会;

关键词：

Stochastic neutral systems; Mean-square exponential stability; Delay dependent criterion; Generalized Finsler lemma; TIME-DELAY SYSTEMS; DEPENDENT EXPONENTIAL STABILITY; H-INFINITY CONTROL; ROBUST STABILITY; PROJECTION APPROACH; EQUATIONS; CRITERIA;

D O I：

10.1016/j.automatica.2010.08.007

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 discusses the mean-square exponential stability of stochastic linear systems of neutral type Applying the Lyapunov-Krasovskii theory a linear matrix inequality-based delay-dependent stability condition is presented The use of model transformations cross-term bounding techniques or additional matrix variables is all avoided thus the method leads to a simple criterion and shows less conservatism The new result is derived based on the generalized Finsler lemma (GFL) GEL reduces to the standard Finsler lemma in the absence of stochastic perturbations and it can be used in the analysis and synthesis of stochastic delay systems Moreover GFL is also employed to obtain stability criteria for a class of stochastic neutral systems which have different discrete and neutral delays Numerical examples including a comparison with some recent results in the literature are provided to show the effectiveness of the new results (C) 2010 Elsevier Ltd All rights reserved

引用

页码：2100 / 2104

页数：5

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