A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays

被引：61

作者：

Park, Ju H. ^{[1
]}

Cho, Hyun J. ^{[1
]}

机构：

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

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 33卷 / 02期

关键词：

BIDIRECTIONAL ASSOCIATIVE MEMORY; LMI-BASED APPROACH; EXPONENTIAL STABILITY; TRANSMISSION DELAYS; EXISTENCE;

D O I：

10.1016/j.chaos.2006.01.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Based on the Lyapunov functional stability analysis for differential equations and the linear matrix inequality (LMI) optimization approach, A novel criterion for the global asymptotic stability of cellular neural networks with time-varying discrete and distributed delays is derived to guarantee global asymptotic stability. The criterion is expressed in terms of LMIs, which can be solved easily by various convex optimization algorithms. Some numerical examples are given to show the effectiveness of proposed method. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：436 / 442

页数：7

共 31 条

[1] Global asymptotic stability of a larger class of neural networks with constant time delay [J].

Arik, S .

PHYSICS LETTERS A, 2003, 311 (06) :504-511

[2]

Boyd B., 1994, LINEAR MATRIX INEQUA

[3] Periodic oscillatory solution of bidirectional associative memory networks with delays [J].

Cao, J ;

Wang, L .

PHYSICAL REVIEW E, 2000, 61 (02) :1825-1828

[4] Global asymptotic stability of neural networks with transmission delays [J].

Cao, JD .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2000, 31 (10) :1313-1316

[5] Stability analysis of delayed cellular neural networks [J].

Cao, JD ;

Zhou, DM .

NEURAL NETWORKS, 1998, 11 (09) :1601-1605

[6] Existence and stability of almost periodic solution for BAM neural networks with delays [J].

Chen, AP ;

Huang, LH ;

Cao, JD .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 137 (01) :177-193

[7] An estimation of upperbound of delays for global asymptotic stability of delayed Hopfield neural networks [J].

Chen, AP ;

Cao, JD ;

Huang, LH .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (07) :1028-1032

[8]

Gahinet P., 1995, LMI control toolbox user's guide

[9] DELAY-INDEPENDENT STABILITY IN BIDIRECTIONAL ASSOCIATIVE MEMORY NETWORKS [J].

GOPALSAMY, K ;

HE, XZ .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 1994, 5 (06) :998-1002

[10] An integral inequality in the stability problem of time-delay systems [J].

Gu, KQ .

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810

← 1 2 3 4 →