EXPONENTIAL STABILITY OF STOCHASTIC INTERVAL CELLULAR NEURAL NETWORKS WITH DELAYS

被引：0
|
作者：
Han, Jin-Fang [1 ]
Li, Fa-Chao [2 ]
机构：
[1] Hebei Univ Sci & Technol, Inst Engn Math, Shijiazhuang 050018, Peoples R China
[2] Hebei Univ Sci & Technol, Coll Econ & Management, Shijiazhuang, Peoples R China
来源：
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON WAVELET ANALYSIS AND PATTERN RECOGNITION | 2009年
基金：
中国国家自然科学基金;
关键词：
Stochastic Cellular Neural Networks; Exponential Stability; Lyapunov function; Ito formula; Delays; ROBUST STABILITY; TIME DELAYS; SYSTEMS;
D O I：
10.1109/ICWAPR.2009.5207427
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, the exponential stability problem of a class of stochastic interval delayed cellular neural networks is studied. Firstly, a kind of equivalent description of this stochastic interval delayed cellular neural networks is presented. Then by using the Ito formula, Razumikhin theorems, Lyapunov function and norm inequalities, several simple sufficient conditions are obtained which guarantee the exponential stability of the stochastic interval cellular neural networks. and some recent results reported in the literature are generalized.
引用
收藏
页码：175 / +
页数：2
相关论文
共 50 条
  • [1] Exponential stability of stochastic cellular neural networks with mixed delays
    Li, Xiaofei
    Ding, Deng
    Sang, Di
    COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2018, 47 (19) : 4881 - 4894
  • [2] Exponential Stability of A Class of Stochastic Interval Cellular Neural Networks
    Han, Jin-fang
    Qiu, Ji-qing
    2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL II, PROCEEDINGS, 2009, : 530 - 534
  • [3] Exponential Stability on Stochastic Neural Networks With Discrete Interval and Distributed Delays
    Yang, Rongni
    Zhang, Zexu
    Shi, Peng
    IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01): : 169 - 175
  • [4] EXPONENTIAL STABILITY OF STOCHASTIC FUZZY CELLULAR NEURAL NETWORKS WITH DISTRIBUTED DELAYS
    Chen, Liping
    Wu, Ranchao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (10): : 3387 - 3395
  • [5] Robust Mean Square Exponential Stability of Stochastic Interval Cellular Neural Networks with Time-delays
    Liu, Zhichao
    Han, Jinfang
    PROCEEDINGS OF THE 2013 INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER SCIENCE AND ELECTRONICS INFORMATION (ICACSEI 2013), 2013, 41 : 276 - 280
  • [6] Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays
    Zhao, Hongyong
    Ding, Nan
    Chen, Ling
    CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1653 - 1659
  • [7] Exponential Stability of Interval Neural Networks with Variable Delays
    Zhang, Jiye
    Ren, Dianbo
    Zhang, Weihua
    INTELLIGENT COMPUTING, PART I: INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING, ICIC 2006, PART I, 2006, 4113 : 357 - 363
  • [8] Exponential stability of stochastic interval Hopfield neural networks with time-varying delays
    Li, Xiaolin
    Cao, Jinde
    NEURAL NETWORK WORLD, 2007, 17 (01) : 31 - 40
  • [9] Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays
    Huang, Chuangxia
    Cao, Jinde
    NEUROCOMPUTING, 2009, 72 (13-15) : 3352 - 3356
  • [10] Global exponential stability of interval neural networks with variable delays
    Zhang, Jiye
    APPLIED MATHEMATICS LETTERS, 2006, 19 (11) : 1222 - 1227
12345