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Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models - MaRDI portal

Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models (Q6144155)

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scientific article; zbMATH DE number 7784309
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Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models
scientific article; zbMATH DE number 7784309

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    Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models (English)
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    5 January 2024
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    The paper provides a stability analysis for distributed-order Hopfield neural networks with time-varying external input. Using Laplace transform techniques, two stability criteria are established. Both discrete/continuous-time distributed-order nonlinear systems are investigated as a general model. Some numerical simulation examples are also presented.
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    distributed-order systems
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    boundedness
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    attractiveness
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    neural networks
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    Lyapunov method
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