Asymptotical stability of multi-delayed cellular neural networks with impulsive effects

被引：13

作者：

Li, Dong ^{[1
,2
]}

Yang, Dan ^{[2
]}

Wang, Hui ^{[3
]}

Zhang, Xiaohong ^{[2
]}

Wang, Shilong ^{[4
]}

机构：

[1] Chongqing Univ, Coll Math & Phys Sci, Chongqing 400030, Peoples R China

[2] Chongqing Univ, Coll Software Engn, Chongqing 400030, Peoples R China

[3] Leshan Teachers Coll, Dept Math, Leshan 614004, Peoples R China

[4] Chongqing Univ, State Key Labs Mech Transmiss, Chongqing 400030, Peoples R China

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2009年 / 388卷 / 2-3期

基金：

美国国家科学基金会;

关键词：

Cellular neural networks; Multi-delays; Stability; Linear matrix inequality; Lyapunov-Krasovskii functional; Parameterized first-order model transformation; GLOBAL EXPONENTIAL STABILITY; TIME-VARYING DELAYS; PERIODIC-SOLUTIONS; LMI APPROACH; EXISTENCE; CNNS; CRITERION;

D O I：

10.1016/j.physa.2008.09.025

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this work, the stability issues of the equilibrium points of multi-delayed cellular neural networks with impulsive effects are investigated. Based on the method of linear matrix inequality (LMI) and parameterized first-order model transformation, several new delay-dependent and delay-independent asymptotical stability conditions are derived by the stability theory of Lyapunov-Krasovskii. A numerical example is given to illustrate the effectiveness of our results. Crown Copyright (C) 2008 Published by Elsevier B.V. All rights reserved.

引用

页码：218 / 224

页数：7

共 29 条

[1]

[Anonymous], 2001, LECT NOTES CONTROL I

[2] Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays [J].

Arik, S ;

Tavsanoglu, V .

NEUROCOMPUTING, 2005, 68 :161-176

[3] Equilibrium analysis of delayed CNN's [J].

Arik, S ;

Tavsanoglu, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (02) :168-171

[4]

Boyd S., 1994, LINEAR MATRIX INEQUA

[5] Global exponential stability and periodic solutions of delayed cellular neural networks [J].

Cao, JD .

JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2000, 60 (01) :38-46

[6] On the exponential stability and periodic solutions of delayed cellular neural networks [J].

Cao, JD ;

Li, Q .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 252 (01) :50-64

[7] CELLULAR NEURAL NETWORKS - THEORY [J].

CHUA, LO ;

YANG, L .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272

[8] Global exponential stability and existence of periodic solutions of CNNs with delays [J].

Dong, MF .

PHYSICS LETTERS A, 2002, 300 (01) :49-57

[9] Existence and uniqueness of periodic solutions of nonautonomous cellular neural networks with impulses [J].

Gui, Zhanji ;

Ge, Weigao .

PHYSICS LETTERS A, 2006, 354 (1-2) :84-94

[10] A new criterion on the global exponential stability for cellular neural networks with multiple time-varying delays [J].

Jiang, HJ ;

Teng, ZD .

PHYSICS LETTERS A, 2005, 338 (06) :461-471

← 1 2 3 →