Stability Analysis of Stochastic Fuzzy Cellular Neural Networks With Time-Varying Delays and Reaction-Diffusion Terms

Authors:
Qintao Gan;Rui Xu;Pinghua Yang
Affiliations:
Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, People's Republic of China 050003;Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, People's Republic of China 050003;Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, People's Republic of China 050003
Venue:
Neural Processing Letters
Year:
2010

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Abstract

In this paper, a class of stochastic fuzzy cellular neural networks with time-varying delays and reaction-diffusion terms is investigated. By using Lyapunov---Krasovskii functional and stochastic analysis approaches, new and less conservative delay-derivative-dependent stability criteria are presented to guarantee the neural networks to be globally exponentially stable in the mean square for all admissible stochastic perturbations. Numerical simulations are carried out to illustrate the main results.