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Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays. / Egorov, Alexey V.; Cuvas, Carlos; Mondié, Sabine.

In: Automatica, Vol. 80, 01.06.2017, p. 218-224.

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

Harvard

Egorov, AV, Cuvas, C & Mondié, S 2017, 'Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays', Automatica, vol. 80, pp. 218-224. https://doi.org/10.1016/j.automatica.2017.02.034

APA

Egorov, A. V., Cuvas, C., & Mondié, S. (2017). Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays. Automatica, 80, 218-224. https://doi.org/10.1016/j.automatica.2017.02.034

Vancouver

Egorov AV, Cuvas C, Mondié S. Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays. Automatica. 2017 Jun 1;80:218-224. https://doi.org/10.1016/j.automatica.2017.02.034

Author

Egorov, Alexey V. ; Cuvas, Carlos ; Mondié, Sabine. / Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays. In: Automatica. 2017 ; Vol. 80. pp. 218-224.

BibTeX

@article{c2f85eee14c14a00b547f25b7b995299,
title = "Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays",
abstract = "A stability criterion for the exponential stability of systems with multiple pointwise and distributed delays is presented. Conditions in terms of the delay Lyapunov matrix are obtained by evaluating a Lyapunov–Krasovskii functional with prescribed derivative at a pertinent initial function that depends on the system fundamental matrix. The proof relies on properties connecting the delay Lyapunov matrix and the fundamental matrix, which are proven to be valid for both stable and unstable systems. The conditions are applied to the determination of the exact stability region for some examples.",
keywords = "Dynamic systems, Linear systems, Lyapunov methods, Stability analysis, Time delay",
author = "Egorov, {Alexey V.} and Carlos Cuvas and Sabine Mondi{\'e}",
year = "2017",
month = jun,
day = "1",
doi = "10.1016/j.automatica.2017.02.034",
language = "English",
volume = "80",
pages = "218--224",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Necessary and sufficient stability conditions for linear systems with pointwise and distributed delays

AU - Egorov, Alexey V.

AU - Cuvas, Carlos

AU - Mondié, Sabine

PY - 2017/6/1

Y1 - 2017/6/1

N2 - A stability criterion for the exponential stability of systems with multiple pointwise and distributed delays is presented. Conditions in terms of the delay Lyapunov matrix are obtained by evaluating a Lyapunov–Krasovskii functional with prescribed derivative at a pertinent initial function that depends on the system fundamental matrix. The proof relies on properties connecting the delay Lyapunov matrix and the fundamental matrix, which are proven to be valid for both stable and unstable systems. The conditions are applied to the determination of the exact stability region for some examples.

AB - A stability criterion for the exponential stability of systems with multiple pointwise and distributed delays is presented. Conditions in terms of the delay Lyapunov matrix are obtained by evaluating a Lyapunov–Krasovskii functional with prescribed derivative at a pertinent initial function that depends on the system fundamental matrix. The proof relies on properties connecting the delay Lyapunov matrix and the fundamental matrix, which are proven to be valid for both stable and unstable systems. The conditions are applied to the determination of the exact stability region for some examples.

KW - Dynamic systems

KW - Linear systems

KW - Lyapunov methods

KW - Stability analysis

KW - Time delay

UR - http://www.scopus.com/inward/record.url?scp=85016143482&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2017.02.034

DO - 10.1016/j.automatica.2017.02.034

M3 - Article

AN - SCOPUS:85016143482

VL - 80

SP - 218

EP - 224

JO - Automatica

JF - Automatica

SN - 0005-1098

ER -

ID: 9227464