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

作者：Gan Qintao^*; Xu Rui; Yang Pinghua

来源：Neural Processing Letters, 2010, 32(1): 45-57.

DOI：10.1007/s11063-010-9144-y

• Fuzzy cellular neural networks
• Reaction-diffusion
• Stochastic
• Exponential stability
• Lyapunov functional

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.

• 出版日期2010-8