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Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays. (English) Zbl 1198.34173

Summary: This paper is concerned with the problem of exponential stability analysis for fuzzy cellular neural network with delays. By constructing suitable Lyapunov functional and using stochastic analysis we present some sufficient conditions ensuring almost sure exponential stability for the network. Moreover, an example is given to demonstrate the advantages of our method.

Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:
34K20Stability theory of functional-differential equations
34A60Differential inclusions
34K50Stochastic functional-differential equations
92B20General theory of neural networks (mathematical biology)
93C42Fuzzy control systems
93D05Lyapunov and other classical stabilities of control systems