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

Author

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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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