Delay dependent stability analysis of neutral systems with mixed time-varying delays and nonlinear perturbations

被引：51
|
作者：
Rakkiyappan, R. [1 ]
Balasubramaniam, P. [1 ]
Krishnasamy, R. [1 ]
机构：
[1] Gandhigram Rural Univ, Dept Math, Gandhigram 624302, Tamil Nadu, India
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期
关键词：
Linear matrix inequality; Lyapunov-Krasovskii functional; Neutral systems; Nonlinear perturbation; H-INFINITY CONTROL; ROBUST STABILITY; CRITERIA; DISCRETE;
D O I：
10.1016/j.cam.2010.10.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the problem of stability of neutral systems with interval time-varying delays and nonlinear perturbations. The uncertainties under consideration are nonlinear time-varying parameter perturbations and norm-bounded uncertainties. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. Numerical examples are given to demonstrate the effectiveness and less conservativeness of the proposed methods. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2147 / 2156
页数：10
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