Finite-time stability of time-varying systems involving multiple impulses and its applications

Tong Jiang, Ying Xing and Xiaodi Li

Chaos, Solitons & Fractals, 2025, vol. 200, issue P2

Abstract: In this article, the hybrid effects of stabilizing and destabilizing impulses are sufficiently taken into account in the study of the finite-time stability (FTS) problem for time-varying systems subjected to multiple impulses. Moreover, the connection among time-varying structures of the system, multiple impulses and settling time is established to ensure the globally FTS (GFTS) of the system. It demonstrates that multiple impulses may have dual effects on system behavior, either stabilizing or destabilizing, which result in a larger or smaller bound of settling time. Additionally, based on the above results, novel controllers ensuring finite-time convergence are developed for time-varying affine systems. A few examples and corresponding simulations are given to illustrate the efficiency of the theoretical findings, with a case focusing on the spin-stabilized spacecraft.

Keywords: Impulsive systems; Finite-time stability; Multiple impulses; Settling time; Lyapunov theorems (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:200:y:2025:i:p2:s0960077925011026

DOI: 10.1016/j.chaos.2025.117089

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