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Global asymptotic stability of Cohen-Grossberg neural network with continuously distributed delays. (English) Zbl 1222.93200

Summary: The convergence dynamical behaviors of Cohen-Grossberg neural network with continuously distributed delays are discussed. By using Brouwer’s fixed point theorem, matrix theory and analysis techniques such as Gronwall inequality, some new sufficient conditions guaranteeing the existence, uniqueness of an equilibrium point and its global asymptotic stability are obtained. An example is given to illustrate the theoretical results.

MSC:

93D20 Asymptotic stability in control theory
34K35 Control problems for functional-differential equations
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