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Robust stability of uncertain Markovian jumping stochastic Cohen-Grossberg type bam neural networks with time-varying delays and reaction diffusion terms

Authors:

P. BalasubramaniamAuthors Info & Claims

Neural, Parallel & Scientific Computations, Volume 19, Issue 1-2

Pages 181 - 196

Published: 01 March 2011 Publication History

Abstract

In this paper, the robust exponential stability problem is investigated for a class of uncertain Markovian jumping stochastic Cohen-Grossberg type bidirectional associative memory neural networks (CGBAMNN) with time-varying delays and reaction-diffusion terms. By using the Lyapunov stability theory and linear matrix inequality (LMI) technique, some robust stability conditions guaranteeing the global robust convergence of the equilibrium point are derived. Two numerical examples are given to show the effectiveness of the proposed results.

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Cited By

Wei TWang LWang Y(2017)Existence, uniqueness and stability of mild solutions to stochastic reactiondiffusion CohenGrossberg neural networks with delays and Wiener processesNeurocomputing10.1016/j.neucom.2017.01.069239:C(19-27)Online publication date: 24-May-2017
https://dl.acm.org/doi/10.1016/j.neucom.2017.01.069
Zhou L(2017)Delay-dependent exponential stability of recurrent neural networks with Markovian jumping parameters and proportional delaysNeural Computing and Applications10.1007/s00521-016-2370-028:1(765-773)Online publication date: 1-Jan-2017
https://dl.acm.org/doi/10.1007/s00521-016-2370-0

Robust stability of uncertain Markovian jumping stochastic Cohen-Grossberg type bam neural networks with time-varying delays and reaction diffusion terms
1. Computing methodologies
  1. Artificial intelligence
    1. Knowledge representation and reasoning
  2. Machine learning
    1. Machine learning approaches
2. Mathematics of computing
  1. Mathematical analysis

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Published In

cover image Neural, Parallel & Scientific Computations

Neural, Parallel & Scientific Computations Volume 19, Issue 1-2

March-June 2011

228 pages

ISSN:1061-5369

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Dynamic Publishers, Inc.

United States

Publication History

Published: 01 March 2011

Received: 11 June 2010

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Cited By

Wei TWang LWang Y(2017)Existence, uniqueness and stability of mild solutions to stochastic reactiondiffusion CohenGrossberg neural networks with delays and Wiener processesNeurocomputing10.1016/j.neucom.2017.01.069239:C(19-27)Online publication date: 24-May-2017
https://dl.acm.org/doi/10.1016/j.neucom.2017.01.069
Zhou L(2017)Delay-dependent exponential stability of recurrent neural networks with Markovian jumping parameters and proportional delaysNeural Computing and Applications10.1007/s00521-016-2370-028:1(765-773)Online publication date: 1-Jan-2017
https://dl.acm.org/doi/10.1007/s00521-016-2370-0

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