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Exponential stability of reaction-diffusion generalized Cohen-Grossberg neural networks with time-varying delays. (English) Zbl 1132.35309

Summary: The stability property of reaction-diffusion generalized Cohen-Grossberg neural networks (GDCGNNs) with time-varying delay are considered. Without assuming the monotonicity and differentiability of activation functions, nor symmetry of synaptic interconnection weights, delay independent and easily verifiable sufficient conditions to guarantee the exponential stability of an equilibrium solution associated with temporally uniform external inputs to the networks are obtained, by employing the method of variational parameter and inequality technique. One example is given to illustrate the theoretical results.

MSC:

35B35 Stability in context of PDEs
37N25 Dynamical systems in biology
92B20 Neural networks for/in biological studies, artificial life and related topics
35K57 Reaction-diffusion equations
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