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
  • [1] Global Exponential Stability for Impulsive BAM Neural Networks with Distributed Delays on Time Scales
    Yongkun Li
    Shan Gao
    Neural Processing Letters, 2010, 31 : 65 - 91
  • [2] Global exponential stability of impulsive BAM neural networks with distributed delays
    Zhou, Jie
    Li, Shuyong
    NEUROCOMPUTING, 2009, 72 (7-9) : 1688 - 1693
  • [3] Global exponential stability analysis on impulsive BAM neural networks with distributed delays
    Li, Yao-tang
    Yang, Chang-bo
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) : 1125 - 1139
  • [4] Global exponential stability for a class of impulsive BAM neural networks with distributed delays
    Stamova, I. M.
    Stamov, G. Tr.
    Alzabut, J. O.
    APPLIED MATHEMATICS & INFORMATION SCIENCES, 2013, 7 (04): : 1539 - 1546
  • [5] Global Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays
    Zhang, Qianghong
    Yang, Lihui
    Liao, Daixi
    ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, 2013, 38 (03): : 691 - 697
  • [6] Global exponential stability of BAM neural networks with distributed delays and impulses
    Zhou, Qinghua
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) : 144 - 153
  • [7] Global Exponential Stability of Fuzzy BAM Neural Networks with Distributed Delays
    Qianghong Zhang
    Lihui Yang
    Daixi Liao
    Arabian Journal for Science and Engineering, 2013, 38 : 691 - 697
  • [8] EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF ALMOST PERIODIC SOLUTIONS FOR BAM NEURAL NETWORKS WITH DISTRIBUTED LEAKAGE DELAYS ON TIME SCALES
    Xu, Changjin
    Li, Peiluan
    Pang, Yicheng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (04): : 1200 - 1232
  • [9] Global Exponential Stability Of BAM Type Cohen-Grossberg Neural Network With Delays And Impulsive On Time Scales
    Qin, Zunyue
    Zhang, Chaolong
    Hu, Xiaojian
    Yang, Jianfu
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 1268 - 1272
  • [10] Global Exponential Stability of Impulsive Fuzzy High-Order BAM Neural Networks With Continuously Distributed Delays
    Yang, Wengui
    Yu, Wenwu
    Cao, Jinde
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (08) : 3682 - 3700
12345