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Research Article | Open Access

Finite-time stabilization of stochastic systems with varying parameters

Wajdi Kallel1( ), Noura Allugmani2
Mathematics Department, Faculty of applied sciences, Umm Al-Qura University, Saudi Arabia
Mathematics Department, College of Sciences and Arts at Alkamil, University of Jeddah, Jeddah, Saudi Arabia
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Abstract

This research deals with the stabilization of the stochastic nonlinear systems. In order to achieve the asymptotic stability in probability with respect to unknown bounded disturbances, a control Lyapunov function is applied to present a modified Sontag's homogeneous controller. The obtained results reveal that the presented control achieves the desirable robust asymptotic stability in probability. The finite-time stability in probability for stochastic nonlinear systems is also discussed in this manuscript. Simulation examples are provided to demonstrate the effectiveness of the controllers.

Keywords

homogeneous systemLyapunov functionfinite time stabilitystochastic systemsstabilization
CLC number: 93B52, 93C10, 93D40, 93E15

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 17687-17701
DOI: 10.3934/math.2023903

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Cite this article:
Kallel W, Allugmani N. Finite-time stabilization of stochastic systems with varying parameters. AIMS Mathematics, 2023, 8(8): 17687-17701. https://doi.org/10.3934/math.2023903

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Received: 13 March 2023
Revised: 08 May 2023
Accepted: 12 May 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)