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Research Article | Open Access

The Lyapunov-Razumikhin theorem for the conformable fractional system with delay

Narongrit Kaewbanjak1, Watcharin Chartbupapan2, Kamsing Nonlaopon2, Kanit Mukdasai2( )
Faculty of Science at Sriracha, Kasetsart University, Sriracha Campus, Chon Buri, 20230, Thailand
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand
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Abstract

This paper explicates the Razumikhin-type uniform stability and a uniform asymptotic stability theorem for the conformable fractional system with delay. Based on a Razumikhin-Lyapunov functional and some inequalities, a delay-dependent asymptotic stability criterion is in the term of a linear matrix inequality (LMI) for the conformable fractional linear system with delay. Moreover, an application of our theorem is illustrated via a numerical example.

Keywords

Lyapunov-Razumikhin techniqueconformable fractional delayed systemlinear matrix inequalityuniform asymptotic stability
CLC number: 34K25, 34K40, 37B25, 58K25

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AIMS Mathematics
Volume 7 Issue 3,
March 2022
Pages 4795-4802
DOI: 10.3934/math.2022267

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Cite this article:
Kaewbanjak N, Chartbupapan W, Nonlaopon K, et al. The Lyapunov-Razumikhin theorem for the conformable fractional system with delay. AIMS Mathematics, 2022, 7(3): 4795-4802. https://doi.org/10.3934/math.2022267

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Received: 02 September 2021
Revised: 06 December 2021
Accepted: 17 December 2021
Published: 15 March 2021
©2022 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)