Finite-time stabilization of time-varying nonlinear systems based on a novel differential inequality approach

Jie Wu, Xinyi He and Xiaodi Li

Applied Mathematics and Computation, 2022, vol. 420, issue C

Abstract: In this paper, the finite-time stabilization problem is investigated for a class of time-varying nonlinear systems. The classical finite-time differential inequality is extended to time-varying systems and some new lemmas are derived for global finite-time stability (FTS) and local FTS of the corresponding closed-loop systems. Then based on the hybrid control theory and the extended time-varying differential inequality, we present two control schemes including continuous control and hybrid control. It is shown that the continuous control is formulated to make the system converge in finite time, while the impulsive part involved in hybrid control accelerates the stabilization. In addition, the theoretical results are applied to the finite-time synchronization of complex networks with time-varying parametric matrices. Ultimately, two numerical examples are presented to demonstrate the distinctiveness and the effectiveness of our proposed results.

Keywords: Finite-time stability; Hybrid control; Synchronization; Complex networks; Time-varying systems (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:420:y:2022:i:c:s0096300321009784

DOI: 10.1016/j.amc.2021.126895

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