Exponential Stability of Uncertain Stochastic Neural Networks with Markovian Switching

Authors:
Song Zhu;Yi Shen;Lei Liu
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China 430074
Venue:
Neural Processing Letters
Year:
2010

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Abstract

This paper is concerned with the exponential stability analysis problem for a class of uncertain stochastic neural networks with Markovian switching. The parameter uncertainties are assumed to be norm bounded. Based on Lyapunov---Krasovskii stability theory and the nonnegative semimartingale convergence theorem, delay-dependent and delay- independent sufficient stability conditions are established. It is also shown that the result in this paper cover some recently published works. Two examples are provided to demonstrate the usefulness of the proposed criteria.