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
  • [41] Dissipativity analysis of stochastic neural networks with time delays
    Wu, Zheng-Guang
    Park, Ju H.
    Su, Hongye
    Chu, Jian
    NONLINEAR DYNAMICS, 2012, 70 (01) : 825 - 839
  • [42] Periodic Solution of Stochastic Recurrent Neural Networks with Delays
    Wan, Li
    Zhou, Qinghua
    ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 3, PROCEEDINGS, 2008, : 505 - +
  • [43] Dissipativity of a class of cellular neural networks with proportional delays
    Zhou, Liqun
    NONLINEAR DYNAMICS, 2013, 73 (03) : 1895 - 1903
  • [44] Asymptotically Behavior of Cellular Neural Networks with Time Delays
    Pei Ji-Nan
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2647 - 2648
  • [45] Synchronization of Cellular Neural Networks with Multiple Proportional Delays
    Xing L.
    Zhou L.-Q.
    Tien Tzu Hsueh Pao/Acta Electronica Sinica, 2020, 48 (10): : 1961 - 1968
  • [46] Stability results for cellular neural networks with time delays
    Danciu, D
    Rasvan, V
    COMPUTATIONAL INTELLIGENCE AND BIOINSPIRED SYSTEMS, PROCEEDINGS, 2005, 3512 : 366 - 373
  • [47] Chaotification for a class of cellular neural networks with distributed delays
    Liu, Na
    Guan, Zhi-Hong
    PHYSICS LETTERS A, 2011, 375 (03) : 463 - 467
  • [48] Stability analysis for cellular neural networks with variable delays
    Zhang, Q
    Wei, XP
    Xu, J
    CHAOS SOLITONS & FRACTALS, 2006, 28 (02) : 331 - 336
  • [49] Dissipativity of a class of cellular neural networks with proportional delays
    Liqun Zhou
    Nonlinear Dynamics, 2013, 73 : 1895 - 1903
  • [50] Exponential stability of impulsive stochastic fuzzy cellular neural networks with mixed delays and reaction–diffusion terms
    Guowei Yang
    Yonggui Kao
    Wei Li
    Sun Xiqian
    Neural Computing and Applications, 2013, 23 : 1109 - 1121
12345