Global Exponential Stability for Impulsive BAM Neural Networks with Distributed Delays on Time Scales

被引：29
|
作者：
Li, Yongkun [1 ]
Gao, Shan [1 ]
机构：
[1] Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
来源：
NEURAL PROCESSING LETTERS | 2010年 / 31卷 / 01期
关键词：
Global exponential stability; BAM neural network; Impulsive; Distributed delays; Time scale; Topological degree theory; BIDIRECTIONAL ASSOCIATIVE MEMORY; ASYMPTOTIC STABILITY; PERIODIC-SOLUTION; DYNAMIC EQUATIONS; EXISTENCE;
D O I：
10.1007/s11063-009-9127-z
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, by utilizing the time scale calculus theory, topological degree theory and Holder's inequality on time scales, we analyze a class of impulsive BAM neural networks with distributed delays on time scales. Some sufficient conditions are obtained to ensure the existence, uniqueness and the global exponential stability of the equilibrium point. Finally, an example is provided to demonstrate the effectiveness of the results.
引用
收藏
页码：65 / 91
页数：27
相关论文
共 50 条
  • [21] Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
    Song, QK
    Zhao, ZJ
    Li, YM
    PHYSICS LETTERS A, 2005, 335 (2-3) : 213 - 225
  • [22] Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control
    Li, Xiaodi
    NEUROCOMPUTING, 2009, 73 (1-3) : 525 - 530
  • [23] BAM-type impulsive neural networks with time-varying delays
    Gu, Haibo
    Jiang, Haijun
    Teng, Zhidong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (05) : 3059 - 3072
  • [24] Exponential Stability of Impulsive Neural Networks with Distributed Delays
    Yang, Jianfu
    Yang, Fengjian
    Liu, Ren
    Li, Wei
    Wu, Dongqing
    THIRD INTERNATIONAL CONFERENCE ON GENETIC AND EVOLUTIONARY COMPUTING, 2009, : 480 - +
  • [25] Existence and global exponential stability of equilibrium of competitive neural networks with different time scales and multiple delays
    Gu, Haibo
    Jiang, Haijun
    Teng, Zhidong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (05): : 719 - 731
  • [26] Global Exponential Stability for Impulsive Neural Networks With Discrete and Distributed Time-varying Delays
    Wu, Liang
    Zhao, Lei
    Zhao, Yingfeng
    Ma, Baolin
    PROCEEDINGS OF 2010 INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND INDUSTRIAL ENGINEERING, VOLS I AND II, 2010, : 660 - 664
  • [27] Global exponential stability of impulsive high-order BAM neural networks with time-varying delays
    Ho, Daniel W. C.
    Liang, Jinling
    Lam, James
    NEURAL NETWORKS, 2006, 19 (10) : 1581 - 1590
  • [28] Global Exponential Stability of Delayed Cohen-Grossberg BAM Neural Networks with Impulses on Time Scales
    Li, Yongkun
    Hua, Yuchun
    Fei, Yu
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [29] Exponential stability for stochastic jumping BAM neural networks with time-varying and distributed delays
    Zhu, Quanxin
    Huang, Chuangxia
    Yang, Xinsong
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2011, 5 (01) : 52 - 77
  • [30] Impulsive Cohen-Grossberg BAM neural networks with mixed time-delays: An exponential stability analysis issue
    Maharajan, C.
    Raja, R.
    Cao, Jinde
    Rajchakit, G.
    Alsaedi, Ahmed
    NEUROCOMPUTING, 2018, 275 : 2588 - 2602
12345