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Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma

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  • Wang, Yibo
  • Hua, Changchun
  • Park, PooGyeon
  • Qian, Cheng

Abstract

This paper investigates the stability analysis issue of time-varying delay systems via a novel reciprocally convex inequality lemma(RCIL). First, a novel reciprocally convex combination method is proposed by introducing a matrix-valued polynomial. Some previous methods are encompassed in the proposed method as special examples. Then, a newly asymmetric Lyapunov-Krasovskii(L-K) functional is presented via introducing some delay-product terms, which develop additional delay convexity information. Moreover, the proposed L-K functional and RCIL are amalgamated to develop new stability conditions. Finally, numerical examples and simulation experiments show the advancement of the proposed method.

Suggested Citation

  • Wang, Yibo & Hua, Changchun & Park, PooGyeon & Qian, Cheng, 2023. "Stability criteria for time-varying delay systems via an improved reciprocally convex inequality lemma," Applied Mathematics and Computation, Elsevier, vol. 448(C).
    • Handle: RePEc:eee:apmaco:v:448:y:2023:i:c:s0096300323000875
    DOI: 10.1016/j.amc.2023.127918
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    References listed on IDEAS

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    1. Zeng, Hong-Bing & Zhai, Zheng-Liang & Wang, Wei, 2021. "Hierarchical stability conditions of systems with time-varying delay," Applied Mathematics and Computation, Elsevier, vol. 404(C).
    2. Shenping Xiao & Jin Yu & Simon X. Yang & Yongfeng Qiu, 2022. "Stability Analysis for Time-Delay Systems via a New Negativity Condition on Quadratic Functions," Mathematics, MDPI, vol. 10(17), pages 1-9, August.
    3. Fu, Xiuwen & Sheng, Zhaoliang & Lin, Chong & Chen, Bing, 2022. "New results on admissibility and dissipativity analysis of descriptor time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 419(C).
    4. de Oliveira, Fúlvia S.S. & Souza, Fernando O., 2020. "Further refinements in stability conditions for time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    5. Baltazar Aguirre-Hernández & Raúl Villafuerte-Segura & Alberto Luviano-Juárez & Carlos Arturo Loredo-Villalobos & Edgar Cristian Díaz-González, 2020. "A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications," Complexity, Hindawi, vol. 2020, pages 1-26, September.
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