Letters: Synchronization of stochastic Markovian jump neural networks with reaction-diffusion terms

  • Authors:
  • Guodong Shi;Qian Ma

  • Affiliations:
  • School of Information Science and Engineering, Changzhou University, Changzhou 213164, PR China;School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China

  • Venue:
  • Neurocomputing
  • Year:
  • 2012

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Abstract

In this paper, we address the synchronization problem of a class of stochastic Markovian jump reaction-diffusion neural networks with Dirichlet boundary conditions. By using the Lyapunov-Krasovskii functional method, feedback control approach, and stochastic analysis technique, the sufficient synchronization conditions including the information of reaction-diffusion terms are obtained, which are expressed as linear matrix inequalities (LMIs). Finally, the effectiveness of the developed methods is shown by simulation examples.