4.5 Article

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

Journal

NEURAL PROCESSING LETTERS
Volume 32, Issue 1, Pages 45-57

Publisher

SPRINGER
DOI: 10.1007/s11063-010-9144-y

Keywords

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

Funding

  1. National Natural Science Foundation of China [10671209]
  2. Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry

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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.

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