A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications. (27th September 2020)

• Record Type: Journal Article
• Authors: Aguirre-Hernández, Baltazar; Villafuerte-Segura, Raúl; Luviano-Juárez, Alberto; Loredo-Villalobos, Carlos Arturo; Díaz-González, Edgar Cristian
• Other Names: Bueno Tila Academic Editor.
• Is Part Of: Complexity. Volume 2020(2020)
• Publication Date: 2020-09-27
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2020/9410315
• Languages: English
• ISSNs: 1076-2787

Abstract

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.