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Research Article | Open Access

Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation

Danhua He1, Baizeng Bao2, Liguang Xu2( )
Department of Mathematics, Zhejiang International Studies University, Hangzhou 310023, China
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China
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Abstract

In this article, a class of uncertain conformable fractional-order delay systems under input saturation is considered. By establishing the Lyapunov boundedness theorem for conformable fractional-order delay systems, some sufficient conditions for robust stability and boundedness of the systems are obtained. Examples are given to illustrate the obtained theory.

Keywords

conformable fractional-order delay systemsrobust boundednessrobust stabilitysaturation
CLC number: 34K37, 93D09

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AIMS Mathematics
Volume 8 Issue 9,
September 2023
Pages 21123-21137
DOI: 10.3934/math.20231076

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Cite this article:
He D, Bao B, Xu L. Robust stability and boundedness of uncertain conformable fractional-order delay systems under input saturation. AIMS Mathematics, 2023, 8(9): 21123-21137. https://doi.org/10.3934/math.20231076

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Received: 07 April 2023
Revised: 09 June 2023
Accepted: 25 June 2023
Published: 15 September 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)