February 2024 FINITE-TIME STABILIZATION BY A CONTINUOUS FEEDBACK OF A CLASS OF NONLINEAR SYSTEMS
Abdessalem Bouzidi, Thouraya Kharrat
Rocky Mountain J. Math. 54(1): 43-53 (February 2024). DOI: 10.1216/rmj.2024.54.43

Abstract

We investigate the problem of finite-time stabilization of a class of nonlinear systems with dilations. We develop a recursive design procedure to design a state feedback which stabilizes the nonlinear system in finite time. The proof is based on the finite-time Lyapunov stability theorem.

Citation

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Abdessalem Bouzidi. Thouraya Kharrat. "FINITE-TIME STABILIZATION BY A CONTINUOUS FEEDBACK OF A CLASS OF NONLINEAR SYSTEMS." Rocky Mountain J. Math. 54 (1) 43 - 53, February 2024. https://doi.org/10.1216/rmj.2024.54.43

Information

Received: 3 July 2022; Accepted: 5 December 2022; Published: February 2024
First available in Project Euclid: 28 February 2024

MathSciNet: MR4718504
Digital Object Identifier: 10.1216/rmj.2024.54.43

Subjects:
Primary: 93D15 , 93D40

Keywords: Feedback , finite time stability , nonlinear systems , stabilization

Rights: Copyright © 2024 Rocky Mountain Mathematics Consortium

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Vol.54 • No. 1 • February 2024
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