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Research Article | Open Access

Global attracting sets and exponential stability of nonlinear uncertain differential equations

Yurou Deng, Zhi Li, Liping Xu( )
School of Information and Mathematics, Yangtze University, Jingzhou 434023, China
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Abstract

Uncertain differential equation is a type of differential equation driven by canonical Liu process. By applying some uncertain theories, the sufficient conditions of the exponential stability in mean square is obtained for nonlinear uncertain differential equations. At the same time, some new criteria ensuring the existence of the global attracting sets of considered equations are presented.

Keywords

canonical Liu processuncertain differential equationexponential stabilityglobal attracting set
CLC number: 60G15, 60H05, 60H15

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26703-26714
DOI: 10.3934/math.20231366

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Cite this article:
Deng Y, Li Z, Xu L. Global attracting sets and exponential stability of nonlinear uncertain differential equations. AIMS Mathematics, 2023, 8(11): 26703-26714. https://doi.org/10.3934/math.20231366

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Received: 25 April 2023
Revised: 24 July 2023
Accepted: 23 August 2023
Published: 15 November 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)