Autors: Gospodinova, E. G.
Title: Practical exponential stability with respect to h−manifolds of discontinuous delayed Cohen–Grossberg neural networks with variable impulsive perturbations
Keywords: Cohen–Grossberg neural networks; practical exponential stabi

Abstract: In the present work, we study discontinuous impulsive systems of the type of Cohen-Grossberg Neural Networks (CGNNs) with time-varying delays. The impulsive perturbations are realized not at fixed moments of time, and can be considered as control inputs. The hybrid concept of practical exponential stability with respect to specific manifolds defined by a function is introduced and studied analytically. The established results are applied to the case of Bidirectional Associative Memory (BAM) CGNNs. Lyapunov function method and the Razumikhin technique are the base of the proofs. A numerical example is also presented to demonstrate the applicability and effectiveness of the obtained stability conditions. The proposed results extend and complement some existing stability criteria for impulsive CGNNs with time-varying delays.

References

    Issue

    Mathematical Modelling and Control, issue 1, 2021, United States, ISSUE1:26-34. doi: 10.3934/mmc.2021003

    Цитирания (Citation/s):
    1. Practical exponential stability with respect to h−manifolds of discontinuous delayed Cohen–Grossberg neural networks with variable impulsive perturbations - 2021 - в издания, индексирани в Scopus или Web of Science
    2. A new approach to persistence and periodicity of logistic systems with jumps - 2021 - в издания, индексирани в Scopus или Web of Science
    3. Impulsive Fractional Cohen-Grossberg Neural Networks: Almost Periodicity Analysis - 2021 - в издания, индексирани в Scopus или Web of Science
    4. Input-to-state stability of delayed systems with bounded-delay impulses - 2022 - в издания, индексирани в Scopus или Web of Science
    5. A brief survey on stability and stabilization of impulsive systems with delayed impulses - 2022 - в издания, индексирани в Scopus или Web of Science
    6. Practical Exponential Stability of Nonlinear Nonautonomous Differential Equations Under Perturbations - 2023 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
    7. Lag synchronization of complex-valued interval neural networks via distributed delayed impulsive control - 2023 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
    8. Exponential Stability for a Class of Linear Delay Differential Systems under Logic Impulsive Control - 2021 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
    9. Neural-impulsive pinning control for complex networks based on V-stability - 2020 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science
    10. A Review on Vibration Monitoring Techniques for Predictive Maintenance of Rotating Machinery - 2023 - от чужди автори в чужди издания, неиндексирани в Scopus или Web of Science

    Вид: публикация в международен форум, публикация в реферирано издание