Autors: Stamov, G. T., Stamova Iv., Tomasiello Stefania., Spirova, C. V.
Title: Stability of Sets Criteria for Impulsive Cohen-Grossberg Delayed Neural Networks with Reaction-Diffusion Terms, published 3 December
Keywords: stability of sets; Cohen-Grossberg neural networks; impulsiv

Abstract: The paper proposes an extension of stability analysis methods for a class of impulsive reaction-diffusion Cohen-Grossberg delayed neural networks by addressing a challenge namely stability of sets. Such extended concept is of considerable interest to numerous systems capable of approaching not only one equilibrium state. Results on uniform global asymptotic stability and uniform global exponential stability with respect to sets for the model under consideration are established. The main tools are expansions of the Lyapunov method and the comparison principle. In addition, the obtained results for the uncertain case contributed to the development of the stability theory of uncertain reaction-diffusion Cohen-Grossberg delayed neural networks and their applications. Moreover, examples are given to demonstrate the feasibility of our results.

References

    Issue

    Mathematics, vol. 8, 2019, Switzerland, Mathematics, https://doi.org/10.3390/math8010027

    Copyright Mathematics

    Цитирания (Citation/s):
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    2. Integral Sliding Mode Control for a Kind of Impulsive Uncertain Reaction-Diffusion Systems - 2023 - в издания, индексирани в Scopus или Web of Science
    3. Impulsive reaction-diffusion delayed models in biology: Integral manifolds approach - 2021 - в издания, индексирани в Scopus или Web of Science
    4. Asymptotical stability of fractional neutral-type delayed neural networks with reaction-diffusion terms - 2021 - в издания, индексирани в Scopus или Web of Science
    5. Computational mathematics and neural systems Open Access - 2021 - в издания, индексирани в Scopus или Web of Science
    6. Intermittent boundary stabilization of stochastic reaction–diffusion Cohen–Grossberg neural networks - 2020 - в издания, индексирани в Scopus или Web of Science

    Вид: статия в списание, публикация в реферирано издание, индексирана в Scopus