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Exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. (English) Zbl 1239.93081
Summary: We study the gobal exponential stability of reaction-diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. By employing a new Lyapunov-Krasovskii functional and linear matrix inequality, some criteria of global exponential stability in the mean square for the reaction-diffusion high-order neural networks are established, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.

93D05Lyapunov and other classical stabilities of control systems
35K57Reaction-diffusion equations
35K55Nonlinear parabolic equations
Full Text: DOI
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