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Global asymptotic stability of fuzzy cellular neural networks with time-varying delays. (English) Zbl 1220.34098

Summary: In this Letter fuzzy cellular neural networks with time-varying delays are studied. Sufficient conditions for the existence, uniqueness and global asymptotic stability of equilibrium point are established by using the theory of topological degree and applying the properties of nonsingular M-matrix. The activation functions are not required to be differentiable, bounded or monotone nondecreasing. The results of this Letter are new and they complement previously known results.

MSC:

34K20 Stability theory of functional-differential equations
34K13 Periodic solutions to functional-differential equations
92B20 Neural networks for/in biological studies, artificial life and related topics
37B25 Stability of topological dynamical systems
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