Оригинал (Original)
Автори: Стамов, Г. Т., Stamova I., Cao J., Стамов, Т. Г.
Заглавие: Impulsive Controllers Design for the Practical Stability Analysis of Gene Regulatory Networks with Distributed Delays
Ключови думи: practical stability; impulses; distributed delays; Lyapunov

Абстракт: This paper studies gene regulatory networks (GRNs) with distributed delays. The essential concept of practical stability of the genes is introduced. We investigate the problems of practical stability and global practical exponential stability of the GRN model under an impulsive control. New practical stability criteria are proposed by designing appropriate impulsive controllers via the Lyapunov functions approach. In the design of the impulsive controller, we consider the effect of impulsive perturbations at fixed times and distributed delays on the stability of the considered GRNs. Several numerical examples are also presented to justify the proposed criteria.

Библиография

    Издание

    Fractal and Fractional, том 7, брой 12, стр. стр. 847, 2023, Швейцария, MDPI AG, ISSN 25043110
    		Autors: Stamov, G. T., Stamova I., Cao J., Stamov, T. G.
    Title: Impulsive Controllers Design for the Practical Stability Analysis of Gene Regulatory Networks with Distributed Delays
    Keywords: practical stability; impulses; distributed delays; Lyapunov functions

    Abstract: This paper studies gene regulatory networks (GRNs) with distributed delays. The essential concept of practical stability of the genes is introduced. We investigate the problems of practical stability and global practical exponential stability of the GRN model under an impulsive control. New practical stability criteria are proposed by designing appropriate impulsive controllers via the Lyapunov functions approach. In the design of the impulsive controller, we consider the effect of impulsive perturbations at fixed times and distributed delays on the stability of the considered GRNs. Several numerical examples are also presented to justify the proposed criteria.

    References

      Issue

      Fractal and Fractional, vol. 7, issue 12, pp. 847, 2023, Switzerland, MDPI AG, ISSN 25043110

      Вид: публикация в международен форум, публикация в издание с импакт фактор, публикация в реферирано издание, индексирана в Scopus и Web of Science