Boundedness of stochastic cellular neural networks with delays

被引：0
|
作者：
Zhou, Qinghua [1 ]
机构：
[1] Department of Mathematics, Zhaoqing University, Zhaoqing 526061, China
来源：
Journal of Information and Computational Science | 2012年 / 9卷 / 15期
关键词：
Stochastic systems - Cellular neural networks - Dynamical systems - Asymptotic stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The ultimate boundedness is one of foundational concepts, which plays an important role in investigating the global asymptotic stability, its control and synchronization for dynamical systems. The ultimate boundedness of stochastic cellular neural networks with time-varying delays is investigated. By employing Lyapunov method and matrix technique, some novel results and criteria on stochastic ultimate boundedness are derived. Finally, a numerical example is given to illustrate the correctness and effectiveness of our theoretical results. © 2012 by Binary Information Press.
引用
收藏
页码：4287 / 4294
相关论文
共 50 条
  • [21] Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays
    Long, Shujun
    Xu, Daoyi
    NEUROCOMPUTING, 2011, 74 (14-15) : 2385 - 2391
  • [22] Boundedness and stability for nonautonornous cellular neural networks with delay
    Rehim, M
    Jiang, HJ
    Teng, ZD
    NEURAL NETWORKS, 2004, 17 (07) : 1017 - 1025
  • [23] Boundedness and stability for nonautonomous cellular neural networks with delay
    Jiang, HJ
    Li, ZM
    Teng, ZD
    PHYSICS LETTERS A, 2003, 306 (5-6) : 313 - 325
  • [24] Stability of stochastic neutral neural networks with delays
    Sun, Xiaoqi
    Zhang, Ling
    ADVANCES IN COMPUTATIONAL DESIGN, AN INTERNATIONAL JOURNAL, 2024, 9 (02): : 97 - 113
  • [25] The boundedness of high-order Hopfield neural networks with variable delays
    Hu, Hongxiao
    Jiang, Haijun
    Teng, Zhidong
    NEUROCOMPUTING, 2010, 73 (13-15) : 2589 - 2596
  • [26] Attraction for Stochastic Cellular Neural Networks
    Wan, Li
    Zhou, Qinghua
    ADVANCED RESEARCH ON COMPUTER EDUCATION, SIMULATION AND MODELING, PT I, 2011, 175 : 418 - +
  • [27] Stability of stochastic cellular neural networks
    Liao, Wudai
    Wang, Dongyun
    Wang, Zhongsheng
    Liao, Xiaoxin
    Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition), 2007, 35 (01): : 32 - 34
  • [28] Boundedness and global stability for nonautonomous recurrent neural networks with distributed delays
    Jiang, Haijun
    Teng, Zhidong
    CHAOS SOLITONS & FRACTALS, 2006, 30 (01) : 83 - 93
  • [29] Global Asymptotic Stability of Stochastic Fuzzy Cellular Neural Networks with Time-varying Delays
    Luo, Wenguang
    Liu, Yonghua
    Lan, Hongli
    MANUFACTURING ENGINEERING AND AUTOMATION I, PTS 1-3, 2011, 139-141 : 1714 - 1717
  • [30] Attractor and Stochastic Boundedness for Stochastic Infinite Delay Neural Networks with Markovian Switching
    Li, Dingshi
    Ma, Chao
    NEURAL PROCESSING LETTERS, 2014, 40 (02) : 127 - 142
12345