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Exponential stability of fuzzy cellular neural networks with constant and time-varying delays. (English) Zbl 1118.81400
Summary: In this Letter, the global stability of delayed fuzzy cellular neural networks (FCNN) with either constant delays or time varying delays is proposed. Firstly, we give the existence and uniqueness of the equilibrium point by using the theory of topological degree and the properties of nonsingular M-matrix and the sufficient conditions for ascertaining the global exponential stability by constructing a suitable Lyapunov functional. Secondly, the criteria for guaranteeing the global exponential stability of FCNN with time varying delays are given and the estimation of exponential convergence rate with regard to speed of vary of delays is presented by constructing a suitable Lyapunov functional.

##### MSC:
 82C32 Neural nets (statistical mechanics) 34K20 Stability theory of functional-differential equations
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##### References:
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