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Global exponential stability for a class of retarded functional differential equations with applications in neural networks - MaRDI portal

Global exponential stability for a class of retarded functional differential equations with applications in neural networks (Q1827074)

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scientific article; zbMATH DE number 2082133
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Global exponential stability for a class of retarded functional differential equations with applications in neural networks
scientific article; zbMATH DE number 2082133

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    Global exponential stability for a class of retarded functional differential equations with applications in neural networks (English)
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    6 August 2004
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    By employing several Lyapunov functionals, the authors obtain easily verifiable delay-dependent sufficient conditions for the global exponential stability of retarded functional-differential equations with multiple time-varying delays. These approaches generalize both the Hopfield neural network model as well as hybrid network models of cellular neural network type.
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    retarded functional-differential equations
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    time-varying delay
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    Lyapunov functionals
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    global exponential stability
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    global asymptotic stability
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