Literature DB >> 25834649

The stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms.

Jie Tan1, Chuandong Li2, Tingwen Huang3.   

Abstract

The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms is investigated. Under some suitable assumptions and using Lyapunov-Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.

Keywords:  Global asymptotic stability; Mixed delays; Poincaré inequality; Reaction–diffusion; Stochastic Cohen–Grossberg neural network

Year:  2014        PMID: 25834649      PMCID: PMC4378572          DOI: 10.1007/s11571-014-9316-y

Source DB:  PubMed          Journal:  Cogn Neurodyn        ISSN: 1871-4080            Impact factor:   5.082


  9 in total

1.  LMI approach for stationary oscillation of interval neural networks with discrete and distributed time-varying delays under impulsive perturbations.

Authors:  Xiaodi Li; Jianhua Shen
Journal:  IEEE Trans Neural Netw       Date:  2010-08-19

2.  Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays.

Authors:  Zidong Wang; Yurong Liu; Maozhen Li; Xiaohui Liu
Journal:  IEEE Trans Neural Netw       Date:  2006-05

3.  Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays.

Authors:  H Zhang; Y Wang
Journal:  IEEE Trans Neural Netw       Date:  2008-02

4.  Exponential stability on stochastic neural networks with discrete interval and distributed delays.

Authors:  Rongni Yang; Zexu Zhang; Peng Shi
Journal:  IEEE Trans Neural Netw       Date:  2009-12-08

5.  Global asymptotic stability of reaction-diffusion Cohen-Grossberg neural networks with continuously distributed delays.

Authors:  Zhanshan Wang; Huaguang Zhang
Journal:  IEEE Trans Neural Netw       Date:  2009-11-17

6.  Stability of delayed memristive neural networks with time-varying impulses.

Authors:  Jiangtao Qi; Chuandong Li; Tingwen Huang
Journal:  Cogn Neurodyn       Date:  2014-03-27       Impact factor: 5.082

7.  Exponential input-to-state stability of recurrent neural networks with multiple time-varying delays.

Authors:  Zhichun Yang; Weisong Zhou; Tingwen Huang
Journal:  Cogn Neurodyn       Date:  2013-06-15       Impact factor: 5.082

8.  Exponential synchronization of memristive Cohen-Grossberg neural networks with mixed delays.

Authors:  Xinsong Yang; Jinde Cao; Wenwu Yu
Journal:  Cogn Neurodyn       Date:  2014-01-04       Impact factor: 5.082

9.  Impulsive control for existence, uniqueness, and global stability of periodic solutions of recurrent neural networks with discrete and continuously distributed delays.

Authors:  Xiaodi Li; Shiji Song
Journal:  IEEE Trans Neural Netw Learn Syst       Date:  2013-06       Impact factor: 10.451

  9 in total
  2 in total

1.  New stability criterion of neural networks with leakage delays and impulses: a piecewise delay method.

Authors:  R Suresh Kumar; G Sugumaran; R Raja; Quanxin Zhu; U Karthik Raja
Journal:  Cogn Neurodyn       Date:  2015-09-29       Impact factor: 5.082

2.  Event-based exponential synchronization of complex networks.

Authors:  Bo Zhou; Xiaofeng Liao; Tingwen Huang
Journal:  Cogn Neurodyn       Date:  2016-06-06       Impact factor: 5.082

  2 in total

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