Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays

被引：58

作者：

Balasubramaniam, P. ^{[1
]}

Krishnasamy, R. ^{[1
]}

Rakkiyappan, R. ^{[2
]}

机构：

[1] Deemed Univ, Dept Math, Gandhigram Rural Inst, Gandhigram 624302, Tamil Nadu, India

[2] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2012年 / 17卷 / 09期

关键词：

Non-linear singular systems; Linear matrix inequality; Lyapunov-Krasovskii functional; Markovian jump; Mode-dependent delay; H-INFINITY CONTROL; OUTPUT-FEEDBACK STABILIZATION; ROBUST STABILITY; LINEAR-SYSTEMS; NEURAL-NETWORKS; STATE;

D O I：

10.1016/j.cnsns.2012.01.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the problem of stability analysis of non-linear singular systems with Markovian jumping parameters and mode-dependent interval time varying delays. New delay-dependent stability conditions are derived in terms of linear matrix inequalities (LMIs) by constructing a mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities. Numerical examples are presented to illustrate the usefulness and less conservativeness of the proposed theoretical results. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：3612 / 3627

页数：16