Literature DB >> 24465285

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

Zhichun Yang1, Weisong Zhou2, Tingwen Huang3.   

Abstract

In this paper, input-to-state stability problems for a class of recurrent neural networks model with multiple time-varying delays are concerned with. By utilizing the Lyapunov-Krasovskii functional method and linear matrix inequalities techniques, some sufficient conditions ensuring the exponential input-to-state stability of delayed network systems are firstly obtained. Two numerical examples and its simulations are given to illustrate the efficiency of the derived results.

Keywords:  Exponential input-to-state stability (exp-ISS); Multiple time-varying delays; Recurrent neural networks

Year:  2013        PMID: 24465285      PMCID: PMC3890088          DOI: 10.1007/s11571-013-9258-9

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


  7 in total

1.  Robust stability analysis of delayed Takagi-Sugeno fuzzy Hopfield neural networks with discontinuous activation functions.

Authors:  Xiru Wu; Yaonan Wang; Lihong Huang; Yi Zuo
Journal:  Cogn Neurodyn       Date:  2010-07-14       Impact factor: 5.082

2.  New stability criteria for uncertain neural networks with interval time-varying delays.

Authors:  Haixia Wu; Wei Feng; Xinyuan Liang
Journal:  Cogn Neurodyn       Date:  2008-09-24       Impact factor: 5.082

3.  Global asymptotic stability of recurrent neural networks with multiple time-varying delays.

Authors:  Huaguang Zhang; Zhanshan Wang; Derong Liu
Journal:  IEEE Trans Neural Netw       Date:  2008-05

4.  Robust state estimation for neural networks with discontinuous activations.

Authors:  Xiaoyang Liu; Jinde Cao
Journal:  IEEE Trans Syst Man Cybern B Cybern       Date:  2010-02-17

5.  Robust exponential stability of uncertain delayed neural networks with stochastic perturbation and impulse effects.

Authors:  Tingwen Huang; Chuandong Li; Shukai Duan; Janusz A Starzyk
Journal:  IEEE Trans Neural Netw Learn Syst       Date:  2012-06       Impact factor: 10.451

6.  Computing with neural circuits: a model.

Authors:  J J Hopfield; D W Tank
Journal:  Science       Date:  1986-08-08       Impact factor: 47.728

7.  Neurons with graded response have collective computational properties like those of two-state neurons.

Authors:  J J Hopfield
Journal:  Proc Natl Acad Sci U S A       Date:  1984-05       Impact factor: 11.205

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

Authors:  Jie Tan; Chuandong Li; Tingwen Huang
Journal:  Cogn Neurodyn       Date:  2014-11-04       Impact factor: 5.082

3.  Synchronization criteria of discrete-time complex networks with time-varying delays and parameter uncertainties.

Authors:  P Balasubramaniam; L Jarina Banu
Journal:  Cogn Neurodyn       Date:  2013-11-05       Impact factor: 5.082

  3 in total

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