The p th moment exponential stability of stochastic cellular neural networks with impulses

被引:0
|
作者
Xiaoai Li
Jiezhong Zou
Enwen Zhu
机构
[1] Central South University,School of Mathematics and Statistics
[2] Changsha University of Science and Technology,School of Mathematics and Computational Science
关键词
th moment exponentially stable; stochastic cellular neural network; impulses; Razumikhin theory;
D O I
暂无
中图分类号
学科分类号
摘要
This paper studies the p th moment exponential stability of stochastic cellular neural networks with time-varying delays under impulsive perturbations. Based on the Lyapunov function, Razumikhin theory, stochastic analysis and differential inequality technique, criteria on the p th moment exponential stability of this model are derived. These results generalize and improve some of the existing ones. A numerical example illustrates the effectiveness and improvements of our results.
引用
收藏
相关论文
共 50 条
  • [41] pth moment exponential stability of stochastic recurrent neural networks with distributed delays
    Liu, Zixin
    Jiao, Jianjun
    Bai, Wanping
    [J]. World Academy of Science, Engineering and Technology, 2010, 67 : 333 - 339
  • [42] pth Moment Exponential Stability of Stochastic Recurrent Neural Networks with Markovian Switching
    Enwen Zhu
    Quan Yuan
    [J]. Neural Processing Letters, 2013, 38 : 487 - 500
  • [43] Exponential Stability of BAM Neural Networks with Delays and Impulses
    Chen, Deqin
    Li, Kelin
    [J]. INTERNATIONAL JOURNAL OF COMPUTER SCIENCE AND NETWORK SECURITY, 2006, 6 (10): : 94 - 99
  • [44] Global exponential stability of delayed Cellular Neural Network with impulses
    Yang, YQ
    Xu, XY
    Cao, JD
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 272 - 279
  • [45] Exponential Stability of Discrete-Time Delayed Hopfield Neural Networks with Stochastic Perturbations and Impulses
    Shukai Duan
    Wenfeng Hu
    Chuandong Li
    Sichao Wu
    [J]. Results in Mathematics, 2012, 62 : 73 - 87
  • [46] Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses
    R. Sakthivel
    R. Raja
    S. M. Anthoni
    [J]. Journal of Optimization Theory and Applications, 2011, 150 : 166 - 187
  • [47] Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses
    Sakthivel, R.
    Raja, R.
    Anthoni, S. M.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2013, 158 (01) : 251 - 273
  • [48] Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses
    R. Sakthivel
    R. Raja
    S. M. Anthoni
    [J]. Journal of Optimization Theory and Applications, 2013, 158 : 251 - 273
  • [49] Exponential Stability of Discrete-Time Delayed Hopfield Neural Networks with Stochastic Perturbations and Impulses
    Duan, Shukai
    Hu, Wenfeng
    Li, Chuandong
    Wu, Sichao
    [J]. RESULTS IN MATHEMATICS, 2012, 62 (1-2) : 73 - 87
  • [50] Exponential Stability for Delayed Stochastic Bidirectional Associative Memory Neural Networks with Markovian Jumping and Impulses
    Sakthivel, R.
    Raja, R.
    Anthoni, S. M.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 150 (01) : 166 - 187