Exponential p-stability of stochastic recurrent neural networks with mixed delays and Markovian switching

Authors:
Bing Li;Daoyi Xu
Affiliations:
College of Science, Chongqing Jiaotong University, Chongqing 400074, PR China and Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China;Yangtze Center of Mathematics, Sichuan University, Chengdu 610064, PR China
Venue:
Neurocomputing
Year:
2013

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Abstract

This paper is concerned with the stability analysis of stochastic recurrent neural networks with mixed delays and Markovian switching. By the properties of nonsingular M-matrix and stochastic analysis techniques, we establish a set of novel L-operator inequalities with finite modes and propose some sufficient criteria for ensuring the exponential p-stability of the equilibrium solution. The obtained results are new and improve the earlier publications. Two examples and simulations are given to demonstrate the efficiency of theoretical results.