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Research Article | Open Access

New stability criteria for systems with an interval time-varying delay

Junkang Tian( ), Zerong Ren, Yanmin Liu
School of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, China
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Abstract

This paper studies the stability analysis of systems with an interval time-varying delay. First, some new integral inequalities are introduced. Second, based on these new integral inequalities, some less conservative stability criteria are introduced in terms of the linear matrix inequalities. Finally, the merits of the stability criteria are shown via two numerical examples.

Keywords

integral inequalitytime-varying delaystabilitylinear matrix inequality (LMI)
CLC number: 34K20, 34D20, 34K25

References

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1139-1153
DOI: 10.3934/math.2023057

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Cite this article:
Tian J, Ren Z, Liu Y. New stability criteria for systems with an interval time-varying delay. AIMS Mathematics, 2023, 8(1): 1139-1153. https://doi.org/10.3934/math.2023057

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Received: 17 August 2022
Revised: 11 September 2022
Accepted: 20 September 2022
Published: 15 January 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)