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Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis. / Gomez, Marco A.; Egorov, Alexey V.; Mondié, Sabine; Zhabko, Alexey P.

In: Systems and Control Letters, Vol. 132, 104501, 01.10.2019.

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

Harvard

Gomez, MA, Egorov, AV, Mondié, S & Zhabko, AP 2019, 'Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis', Systems and Control Letters, vol. 132, 104501. https://doi.org/10.1016/j.sysconle.2019.104501

APA

Gomez, M. A., Egorov, A. V., Mondié, S., & Zhabko, A. P. (2019). Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis. Systems and Control Letters, 132, [104501]. https://doi.org/10.1016/j.sysconle.2019.104501

Vancouver

Gomez MA, Egorov AV, Mondié S, Zhabko AP. Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis. Systems and Control Letters. 2019 Oct 1;132. 104501. https://doi.org/10.1016/j.sysconle.2019.104501

Author

Gomez, Marco A. ; Egorov, Alexey V. ; Mondié, Sabine ; Zhabko, Alexey P. / Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis. In: Systems and Control Letters. 2019 ; Vol. 132.

BibTeX

@article{88ffb5363965408b802aba9a08848293,
title = "Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis",
abstract = "A new procedure for computing the delay Lyapunov matrix for periodic time-delay systems that is based on the numerical solution of a partial differential equations (PDE) system is presented. The introduction of a new set of boundary conditions that are satisfied by the PDE system allows us to propose a new methodology for computing the initial conditions required by the implemented numerical scheme. The potential of the presented results is demonstrated by obtaining robust stability conditions depending on the delay Lyapunov matrix with respect to the system parameters, the delay and the frequency. The theoretical results are applied to the widely known delayed Mathieu equation.",
keywords = "Delayed Mathieu equation, Lyapunov matrix, Lyapunov–Krasovskii functionals, Periodic delay systems, Robust stability analysis, LINEAR-SYSTEMS, Lyapunov-Krasovskii functionals",
author = "Gomez, {Marco A.} and Egorov, {Alexey V.} and Sabine Mondi{\'e} and Zhabko, {Alexey P.}",
year = "2019",
month = oct,
day = "1",
doi = "10.1016/j.sysconle.2019.104501",
language = "English",
volume = "132",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Computation of the Lyapunov matrix for periodic time-delay systems and its application to robust stability analysis

AU - Gomez, Marco A.

AU - Egorov, Alexey V.

AU - Mondié, Sabine

AU - Zhabko, Alexey P.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - A new procedure for computing the delay Lyapunov matrix for periodic time-delay systems that is based on the numerical solution of a partial differential equations (PDE) system is presented. The introduction of a new set of boundary conditions that are satisfied by the PDE system allows us to propose a new methodology for computing the initial conditions required by the implemented numerical scheme. The potential of the presented results is demonstrated by obtaining robust stability conditions depending on the delay Lyapunov matrix with respect to the system parameters, the delay and the frequency. The theoretical results are applied to the widely known delayed Mathieu equation.

AB - A new procedure for computing the delay Lyapunov matrix for periodic time-delay systems that is based on the numerical solution of a partial differential equations (PDE) system is presented. The introduction of a new set of boundary conditions that are satisfied by the PDE system allows us to propose a new methodology for computing the initial conditions required by the implemented numerical scheme. The potential of the presented results is demonstrated by obtaining robust stability conditions depending on the delay Lyapunov matrix with respect to the system parameters, the delay and the frequency. The theoretical results are applied to the widely known delayed Mathieu equation.

KW - Delayed Mathieu equation

KW - Lyapunov matrix

KW - Lyapunov–Krasovskii functionals

KW - Periodic delay systems

KW - Robust stability analysis

KW - LINEAR-SYSTEMS

KW - Lyapunov-Krasovskii functionals

UR - http://www.scopus.com/inward/record.url?scp=85070565224&partnerID=8YFLogxK

U2 - 10.1016/j.sysconle.2019.104501

DO - 10.1016/j.sysconle.2019.104501

M3 - Article

AN - SCOPUS:85070565224

VL - 132

JO - Systems and Control Letters

JF - Systems and Control Letters

SN - 0167-6911

M1 - 104501

ER -

ID: 45775052