Robust stability analysis for linear systems with distributed delays: A time-domain approach

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Robust stability analysis for linear systems with distributed delays: A time-domain approach. / Juárez, Luis; Alexandrova, Irina V.; Mondié, Sabine.

In: International Journal of Robust and Nonlinear Control, Vol. 30, No. 18, 01.12.2020, p. 8299-8312.

Research output: Contribution to journal › Article › peer-review

Author

Juárez, Luis ; Alexandrova, Irina V. ; Mondié, Sabine. / Robust stability analysis for linear systems with distributed delays: A time-domain approach. In: International Journal of Robust and Nonlinear Control. 2020 ; Vol. 30, No. 18. pp. 8299-8312.

BibTeX

@article{0b34c119c18e4e5b85cf518b3429796c,

title = "Robust stability analysis for linear systems with distributed delays: A time-domain approach",

abstract = "This work is devoted to the robust stability analysis of linear systems with distributed delays. The approach is based on recent results in the Lyapunov-Krasovskii framework, where a Lyapunov-Krasovskii functional with prescribed negative definite derivative is applied. The stability conditions obtained in this work, are simple inequalities which depend on the so-called delay Lyapunov matrix. The cases of matrix parameters and delays uncertainties are addressed, accurately detecting exact stability bounds when applied in an iterative manner. Our method is used successfully to tackle the challenging problem of robust predictor-based stabilization of systems with state and input delays.",

keywords = "delay systems, Lyapunov-Krasovskii functionals, robust stability, uncertain parameters",

author = "Luis Ju{\'a}rez and Alexandrova, {Irina V.} and Sabine Mondi{\'e}",

note = "Funding Information: Centro de Investigaci{\'o}n y de Estudios Avanzados del Instituto Polit{\'e}cnico Nacional, 155; Consejo Nacional de Ciencia y Tecnolog{\'i}a, A1‐S‐24796; Russian Science Foundation, 19‐71‐00061 Funding information Funding Information: The work of the first and third authors was supported by Project SEP‐Cinvestav 155 and by Project Conacyt A1‐S‐24796, Mexico. The work of the second author was supported by Russian Science Foundation, Project 19‐71‐00061. Publisher Copyright: {\textcopyright} 2020 John Wiley & Sons Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = dec,

day = "1",

doi = "10.1002/rnc.5244",

language = "English",

volume = "30",

pages = "8299--8312",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "Wiley-Blackwell",

number = "18",

}

RIS

TY - JOUR

T1 - Robust stability analysis for linear systems with distributed delays: A time-domain approach

AU - Juárez, Luis

AU - Alexandrova, Irina V.

AU - Mondié, Sabine

N1 - Funding Information: Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, 155; Consejo Nacional de Ciencia y Tecnología, A1‐S‐24796; Russian Science Foundation, 19‐71‐00061 Funding information Funding Information: The work of the first and third authors was supported by Project SEP‐Cinvestav 155 and by Project Conacyt A1‐S‐24796, Mexico. The work of the second author was supported by Russian Science Foundation, Project 19‐71‐00061. Publisher Copyright: © 2020 John Wiley & Sons Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/12/1

Y1 - 2020/12/1

N2 - This work is devoted to the robust stability analysis of linear systems with distributed delays. The approach is based on recent results in the Lyapunov-Krasovskii framework, where a Lyapunov-Krasovskii functional with prescribed negative definite derivative is applied. The stability conditions obtained in this work, are simple inequalities which depend on the so-called delay Lyapunov matrix. The cases of matrix parameters and delays uncertainties are addressed, accurately detecting exact stability bounds when applied in an iterative manner. Our method is used successfully to tackle the challenging problem of robust predictor-based stabilization of systems with state and input delays.

AB - This work is devoted to the robust stability analysis of linear systems with distributed delays. The approach is based on recent results in the Lyapunov-Krasovskii framework, where a Lyapunov-Krasovskii functional with prescribed negative definite derivative is applied. The stability conditions obtained in this work, are simple inequalities which depend on the so-called delay Lyapunov matrix. The cases of matrix parameters and delays uncertainties are addressed, accurately detecting exact stability bounds when applied in an iterative manner. Our method is used successfully to tackle the challenging problem of robust predictor-based stabilization of systems with state and input delays.

KW - delay systems

KW - Lyapunov-Krasovskii functionals

KW - robust stability

KW - uncertain parameters

UR - http://www.scopus.com/inward/record.url?scp=85092171404&partnerID=8YFLogxK

U2 - 10.1002/rnc.5244

DO - 10.1002/rnc.5244

M3 - Article

AN - SCOPUS:85092171404

VL - 30

SP - 8299

EP - 8312

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 18

ER -

ID: 71338289