Standard

Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems. / Gomez, Marco A.; Egorov, Alexey V.; Mondié, Sabine.

In: Automatica, Vol. 108, 108475, 01.10.2019.

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

Harvard

Gomez, MA, Egorov, AV & Mondié, S 2019, 'Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems', Automatica, vol. 108, 108475. https://doi.org/10.1016/j.automatica.2019.06.027

APA

Gomez, M. A., Egorov, A. V., & Mondié, S. (2019). Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems. Automatica, 108, [108475]. https://doi.org/10.1016/j.automatica.2019.06.027

Vancouver

Gomez MA, Egorov AV, Mondié S. Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems. Automatica. 2019 Oct 1;108. 108475. https://doi.org/10.1016/j.automatica.2019.06.027

Author

Gomez, Marco A. ; Egorov, Alexey V. ; Mondié, Sabine. / Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems. In: Automatica. 2019 ; Vol. 108.

BibTeX

@article{afd058f5574242b7b79b69ab9210b962,
title = "Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems",
abstract = "A new necessary and sufficient exponential stability condition for systems with multiple delays is presented. It is given in terms of a symmetric block matrix uniquely determined by the delay Lyapunov matrix. A notable feature is that the stability test requires a finite number of mathematical operations.",
keywords = "Delay Lyapunov matrix, Necessary and sufficient stability condition, Time-delay systems, DELAY SYSTEMS, LINEAR-SYSTEMS, POINTWISE",
author = "Gomez, {Marco A.} and Egorov, {Alexey V.} and Sabine Mondi{\'e}",
year = "2019",
month = oct,
day = "1",
doi = "10.1016/j.automatica.2019.06.027",
language = "English",
volume = "108",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Lyapunov matrix based necessary and sufficient stability condition by finite number of mathematical operations for retarded type systems

AU - Gomez, Marco A.

AU - Egorov, Alexey V.

AU - Mondié, Sabine

PY - 2019/10/1

Y1 - 2019/10/1

N2 - A new necessary and sufficient exponential stability condition for systems with multiple delays is presented. It is given in terms of a symmetric block matrix uniquely determined by the delay Lyapunov matrix. A notable feature is that the stability test requires a finite number of mathematical operations.

AB - A new necessary and sufficient exponential stability condition for systems with multiple delays is presented. It is given in terms of a symmetric block matrix uniquely determined by the delay Lyapunov matrix. A notable feature is that the stability test requires a finite number of mathematical operations.

KW - Delay Lyapunov matrix

KW - Necessary and sufficient stability condition

KW - Time-delay systems

KW - DELAY SYSTEMS

KW - LINEAR-SYSTEMS

KW - POINTWISE

UR - http://www.scopus.com/inward/record.url?scp=85066493846&partnerID=8YFLogxK

U2 - 10.1016/j.automatica.2019.06.027

DO - 10.1016/j.automatica.2019.06.027

M3 - Article

AN - SCOPUS:85066493846

VL - 108

JO - Automatica

JF - Automatica

SN - 0005-1098

M1 - 108475

ER -

ID: 45775138