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Finite-time stability of non-instantaneous impulsive systems with double state-dependent delays

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  • Guo, Mengyu
  • Wang, Peiguang

Abstract

This paper focuses on non-instantaneous impulsive systems with double state-dependent delays. The finite-time stability criteria of such systems are obtained via impulsive control theory and Lyapunov function method, and the effects of destabilizing impulse and stabilizing impulse on the finite-time stability are considered, respectively. Meanwhile, the obtained results are applied to finite-time stability of genetic regulatory networks with state-dependent delays and non-instantaneous impulses as an example.

Suggested Citation

  • Guo, Mengyu & Wang, Peiguang, 2024. "Finite-time stability of non-instantaneous impulsive systems with double state-dependent delays," Applied Mathematics and Computation, Elsevier, vol. 477(C).
    • Handle: RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002856
    DOI: 10.1016/j.amc.2024.128824
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    References listed on IDEAS

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    1. Li, Xiaodi & Shen, Jianhua & Rakkiyappan, R., 2018. "Persistent impulsive effects on stability of functional differential equations with finite or infinite delay," Applied Mathematics and Computation, Elsevier, vol. 329(C), pages 14-22.
    2. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    3. You, Luyao & Yang, Xueyan & Wu, Shuchen & Li, Xiaodi, 2023. "Finite-time stabilization for uncertain nonlinear systems with impulsive disturbance via aperiodic intermittent control," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    4. Joby, Maya & Santra, Srimanta & Anthoni, S. Marshal, 2021. "Finite-time contractive boundedness of extracorporeal blood circulation process," Applied Mathematics and Computation, Elsevier, vol. 388(C).
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