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

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

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 criter...

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Main Authors: Baltazar Aguirre-Hernández, Raúl Villafuerte-Segura, Alberto Luviano-Juárez, Carlos Arturo Loredo-Villalobos, Edgar Cristian Díaz-González
Format: Article
Language:English
Published: Hindawi-Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/9410315
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spelling doaj-147868260b3b421a8c2ca1f2bc7eb9cf2020-11-25T01:59:27ZengHindawi-WileyComplexity1076-27871099-05262020-01-01202010.1155/2020/94103159410315A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its ApplicationsBaltazar Aguirre-Hernández0Raúl Villafuerte-Segura1Alberto Luviano-Juárez2Carlos Arturo Loredo-Villalobos3Edgar Cristian Díaz-González4Departamento de Matemáticas, Universidad Autónoma Metropolitana Iztapalapa, 09340 Ciudad de Mexico, CDMX, MexicoCentro de Investigación en Tecnologías de Información y Sistemas, Universidad Autónoma del Estado de Hidalgo, Pachuca, HGO, MexicoInstituto Politécnico Nacional UPIITA, Ciudad de Mexico, CDMX, MexicoDepartamento de Matemáticas, Universidad Autónoma Metropolitana Iztapalapa, 09340 Ciudad de Mexico, CDMX, MexicoDepartamento de Matemáticas, Universidad Autónoma Metropolitana Iztapalapa, 09340 Ciudad de Mexico, CDMX, MexicoThis 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.http://dx.doi.org/10.1155/2020/9410315
collection DOAJ
language English
format Article
sources DOAJ
author Baltazar Aguirre-Hernández
Raúl Villafuerte-Segura
Alberto Luviano-Juárez
Carlos Arturo Loredo-Villalobos
Edgar Cristian Díaz-González
spellingShingle Baltazar Aguirre-Hernández
Raúl Villafuerte-Segura
Alberto Luviano-Juárez
Carlos Arturo Loredo-Villalobos
Edgar Cristian Díaz-González
A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
Complexity
author_facet Baltazar Aguirre-Hernández
Raúl Villafuerte-Segura
Alberto Luviano-Juárez
Carlos Arturo Loredo-Villalobos
Edgar Cristian Díaz-González
author_sort Baltazar Aguirre-Hernández
title A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
title_short A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
title_full A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
title_fullStr A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
title_full_unstemmed A Panoramic Sketch about the Robust Stability of Time-Delay Systems and Its Applications
title_sort panoramic sketch about the robust stability of time-delay systems and its applications
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/9410315
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