Delay-dependent exponential stability criteria for neutral systems with interval time-varying delays and nonlinear perturbations

被引：40

作者：

Liu, Yajuan ^{[1
]}

Lee, S. M. ^{[1
]}

Kwon, O. M. ^{[2
]}

Park, Ju H. ^{[3
]}

机构：

[1] Daegu Univ, Dept Elect Engn, Gyongsan 712714, South Korea

[2] Chungbuk Natl Univ, Sch Elect Engn, Cheongju 361763, South Korea

[3] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2013年 / 350卷 / 10期

关键词：

BAM NEURAL-NETWORKS; ROBUST STABILITY; LINEAR-SYSTEMS; MIXED DELAYS;

D O I：

10.1016/j.jfranklin.2013.07.010

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 investigates the problem of global exponential stability for neutral systems with interval time varying delays and nonlinear perturbations. It is assumed that the state delay belongs to a given interval, which means that both the lower and upper bounds of the time-varying delay are available. The uncertainties under consideration are norm-bounded. Based on the Lyapunov-Krasovskii stability theory, delay-partitioning technique and lower bounds lemma, less conservative delay-dependent exponential stability criteria are derived in terms of linear matrix inequalities (LMIs) with fewer decision variables than the existing ones. Numerical examples are given to show the effectiveness of the proposed method. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：3313 / 3327

页数：15

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