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

Mengyu Guo and Peiguang Wang

Applied Mathematics and Computation, 2024, vol. 477, issue C

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.

Keywords: Delay-dependent impulse; Non-instantaneous impulse; State-dependent delay; Finite-time stability; Genetic regulatory networks (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002856

DOI: 10.1016/j.amc.2024.128824

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