Global stability analysis of impulsive Cohen-Grossberg neural networks with delay

被引：89
|
作者：
Chen, Z
Ruan, J [1 ]
机构：
[1] Fudan Univ, Sch Math Sci, Res Ctr, Shanghai 200433, Peoples R China
[2] Fudan Univ, Sch Math Sci, Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
PHYSICS LETTERS A | 2005年 / 345卷 / 1-3期
关键词：
neural networks; impulsive; time delay; globally exponential stability; Lyapunov function; periodic solution;
D O I：
10.1016/j.physleta.2005.06.104
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this Letter, several classes of impulsive Cohen-Grossberg neural networks with time delay are studied. Globally exponential stability and globally exponentially robust stability are investigated by Lyapumov function and Halanay inequality. Furthermore, sufficient conditions are given to guarantee the existence of omega-periodic solution and all other solutions are convergent to it globally exponentially. At last, two examples are given to show the effectiveness of results in this Letter. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：101 / 111
页数：11
相关论文
共 50 条
  • [21] Global exponential stability of delayed Cohen-Grossberg neural networks
    Zeng, ZG
    Wang, ZF
    2004 8TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION, VOLS 1-3, 2004, : 2254 - 2257
  • [22] Global asymptotic stability of delayed Cohen-Grossberg neural networks
    Wu, Wei
    Cui, Bao Tong
    Huang, Min
    CHAOS SOLITONS & FRACTALS, 2007, 34 (03) : 872 - 877
  • [23] New conditions on global stability of Cohen-Grossberg neural networks
    Lu, WL
    Chen, TP
    NEURAL COMPUTATION, 2003, 15 (05) : 1173 - 1189
  • [24] Analysis of stability for impulsive stochastic fuzzy Cohen-Grossberg neural networks with mixed delays
    1600, World Scientific and Engineering Academy and Society, Ag. Ioannou Theologou 17-23, Zographou, Athens, 15773, Greece (12):
  • [25] Stability analysis of impulsive stochastic Cohen-Grossberg neural networks with mixed time delays
    Song, Qiankun
    Wang, Zidong
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2008, 387 (13) : 3314 - 3326
  • [26] Global stability of Cohen-Grossberg neural networks with distributed delays
    Zhao, Weirui
    Zhang, Huanshui
    NEURAL INFORMATION PROCESSING, PT 1, PROCEEDINGS, 2006, 4232 : 580 - 590
  • [27] New Results on Impulsive Cohen-Grossberg Neural Networks
    Aouiti, Chaouki
    Dridi, Farah
    NEURAL PROCESSING LETTERS, 2019, 49 (03) : 1459 - 1483
  • [28] Analysis for Global Robust stability of Cohen-Grossberg neural networks with multiple delays
    Ji, C
    Zhang, HG
    Guan, HX
    ADVANCES IN NEURAL NETWORKS - ISNN 2004, PT 1, 2004, 3173 : 96 - 101
  • [29] An Analysis of Global Stability of Cohen-Grossberg Neural Networks with Multiple Time Delays
    Orman, Zeynep
    Arik, Sabri
    PROCEEDINGS OF WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY, VOL 29, 2008, 29 : 256 - 260
  • [30] Global stability analysis of Cohen-Grossberg neural networks with time varying delays
    Arik, S
    Orman, Z
    PHYSICS LETTERS A, 2005, 341 (5-6) : 410 - 421
12345