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AIMS Mathematics

2023, Volume 8, Issue 1: 1139-1153. doi: 10.3934/math.2023057
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Research article

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

  • School of Mathematics, Zunyi Normal University, Zunyi, Guizhou 563006, China
  • Received: 17 August 2022 Revised: 11 September 2022 Accepted: 20 September 2022 Published: 17 October 2022

  • MSC : 34K20, 34D20, 34K25

  • 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.

    Citation: Junkang Tian, Zerong Ren, Yanmin Liu. New stability criteria for systems with an interval time-varying delay[J]. AIMS Mathematics, 2023, 8(1): 1139-1153. doi: 10.3934/math.2023057

    Related Papers:

  • 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.


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  • © 2023 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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