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A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications

Author

Listed:
  • Baltazar Aguirre-Hernández
  • Raúl Villafuerte-Segura
  • Alberto Luviano-Juárez
  • Carlos Arturo Loredo-Villalobos
  • Edgar Cristian Díaz-González

Abstract

This paper presents a brief review on the current applications and perspectives on the stability of complex dynamical systems, with an emphasis on three main classes of systems such as delay-free systems, time-delay systems, and systems with uncertainties in its parameters, which lead to some criteria with necessary and/or sufficient conditions to determine stability and/or stabilization in the domains of frequency and time. Besides, criteria on robust stability and stability of nonlinear time-delay systems are presented, including some numerical approaches.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:complx:9410315
    DOI: 10.1155/2020/9410315
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    Cited by:

    1. 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).

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