Exponential Stability and Periodicity of Fuzzy Delayed Reaction-Diffusion Cellular Neural Networks with Impulsive Effect

被引：5
作者：
Yang, Guowei [1 ]
Kao, Yonggui [2 ]
Wang, Changhong [2 ]
机构：
[1] Nanchang Hangkong Univ, Coll Informat Engn, Nanchang 330063, Peoples R China
[2] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Heilongjiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国博士后科学基金;
关键词：
EXISTENCE; SYNCHRONIZATION; EQUATIONS; CONSTANT; DYNAMICS;
D O I：
10.1155/2013/645262
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers dynamical behaviors of a class of fuzzy impulsive reaction-diffusion delayed cellular neural networks (FIRDDCNNs) with time-varying periodic self-inhibitions, interconnection weights, and inputs. By using delay differential inequality, M-matrix theory, and analytic methods, some new sufficient conditions ensuring global exponential stability of the periodic FIRDDCNN model with Neumann boundary conditions are established, and the exponential convergence rate index is estimated. The differentiability of the time-varying delays is not needed. An example is presented to demonstrate the efficiency and effectiveness of the obtained results.
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页数：9
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共 42 条
  • [11] On impulsive autoassociative neural networks
    Guan, ZH
    Lam, J
    Chen, GR
    [J]. NEURAL NETWORKS, 2000, 13 (01) : 63 - 69
  • [12] On delayed impulsive Hopfield neural networks
    Guan, ZH
    Chen, GR
    [J]. NEURAL NETWORKS, 1999, 12 (02) : 273 - 280
  • [13] Exponential stability of delayed fuzzy cellular neural networks with diffusion
    Huang, Tingwen
    [J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (03) : 658 - 664
  • [14] Exponential stability of fuzzy cellular neural networks with distributed delay
    Huang, TW
    [J]. PHYSICS LETTERS A, 2006, 351 (1-2) : 48 - 52
  • [15] Exponential periodic attractor of impulsive BAM networks with finite distributed delays
    Huang, Zhenkun
    Xia, Yonghui
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 39 (01) : 373 - 384
  • [16] Delay-dependent robust exponential stability of Markovian jumping reaction-diffusion Cohen-Grossberg neural networks with mixed delays
    Kao, Yong-Gui
    Guo, Ji-Feng
    Wang, Chang-Hong
    Sun, Xi-Qian
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (06): : 1972 - 1988
  • [17] [考永贵 KAO Yonggui], 2008, [应用数学, Mathematics Applicata], V21, P457
  • [18] Existence and stability of periodic solutions of delayed cellular neural networks
    Li, YK
    Zhu, LF
    Liu, P
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (02) : 225 - 234
  • [19] Global exponential stability and existence of periodic solution of Hopfield-type neural networks with impulses
    Li, YK
    Lu, LH
    [J]. PHYSICS LETTERS A, 2004, 333 (1-2) : 62 - 71
  • [20] Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
    Liang, JL
    Cao, JD
    [J]. PHYSICS LETTERS A, 2003, 314 (5-6) : 434 - 442
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