Оригинал (Original)
Автори: Стамов, Т. Г., Стамов, Г. Т., Stamova I.
Заглавие: Lipschitz Quasistability of Impulsive Cohen–Grossberg Neural Network Models with Delays and Reaction-Diffusion Terms
Ключови думи: Neural network models, Cohen–Grossberg neural networks

Абстракт: A class of impulsive Cohen–Grossberg neural network models with delays and reaction-diffusion terms that are applied for describing numerous phenomena in biology, neuroscience, medicine, and computing is investigating. We introduce the notion of Lipschitz quasistability to these classes of models which extends the Lipschitz stability and some classical stability concepts. We consider the case where the impulsive perturbations are not at fixed moments of time. The impulsive effects can also be implemented as an impulsive control mechanism. We conduct a Lipschitz quasistability analysis and provide criteria for the uniform Lipschitz quasistability to the model under consideration. The comparison principle and Lyapunov function methodology are used to complete our analysis and develop the main Lipschitz quasistability results. The obtained criteria are new and extend some existing stability results for Cohen–Grossberg delayed reaction-diffusion neural network models. In addition, the Lip

Библиография

    Издание

    Computational and Mathematical Models in Biology, 2023, Швейцария, Springer Nature Switzerland, ISSN 2195-9994
    		Autors: Stamov, T. G., Stamov, G. T., Stamova I.
    Title: Lipschitz Quasistability of Impulsive Cohen–Grossberg Neural Network Models with Delays and Reaction-Diffusion Terms
    Keywords: Neural network models, Cohen–Grossberg neural networks

    Abstract: A class of impulsive Cohen–Grossberg neural network models with delays and reaction-diffusion terms that are applied for describing numerous phenomena in biology, neuroscience, medicine, and computing is investigating. We introduce the notion of Lipschitz quasistability to these classes of models which extends the Lipschitz stability and some classical stability concepts. We consider the case where the impulsive perturbations are not at fixed moments of time. The impulsive effects can also be implemented as an impulsive control mechanism. We conduct a Lipschitz quasistability analysis and provide criteria for the uniform Lipschitz quasistability to the model under consideration. The comparison principle and Lyapunov function methodology are used to complete our analysis and develop the main Lipschitz quasistability results. The obtained criteria are new and extend some existing stability results for Cohen–Grossberg delayed reaction-diffusion neural network models. In addition, the Lip

    References

      Issue

      Computational and Mathematical Models in Biology, 2023, Switzerland, Springer Nature Switzerland, ISSN 2195-9994

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