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

  • Authors:
  • C. Vidhya;P. Balasubramaniam

  • Affiliations:
  • Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, Tamil Nadu, India;Department of Mathematics, Gandhigram Rural Institute, Deemed University, Gandhigram, Tamil Nadu, India

  • Venue:
  • Neural, Parallel & Scientific Computations
  • Year:
  • 2011

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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.