Finite-time stability and stabilization for time-varying systems

Xinyi He, Xiaodi Li and Juan J. Nieto

Chaos, Solitons & Fractals, 2021, vol. 148, issue C

Abstract: This paper considers finite-time stability and stabilization for time-varying systems. By developing classical Lyapunov method, sufficient conditions are presented to guarantee the finite-time stability for more general time-varying systems that are not covered in other existing results. Estimates of the corresponding attraction domain and settling time are derived along the analysis of finite-time stability, and the proposed results are utilized in the problem of finite-time stabilization for a class of controlled systems. Two examples and their simulations are given to verify the effectiveness of the theoretical results.

Keywords: Finite-time stability; Time-varying systems; Lyapunov method; Attraction domain; Settling time (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921004306

DOI: 10.1016/j.chaos.2021.111076

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