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Necessary stability conditions for neutral-type systems with multiple commensurate delays. / Gomez, Marco A.; Egorov, Alexey; Mondie, Sabine.

In: International Journal of Control, Vol. 92, No. 5, 04.05.2019, p. 1155-1166.

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

Harvard

Gomez, MA, Egorov, A & Mondie, S 2019, 'Necessary stability conditions for neutral-type systems with multiple commensurate delays', International Journal of Control, vol. 92, no. 5, pp. 1155-1166. https://doi.org/10.1080/00207179.2017.1384574

APA

Gomez, M. A., Egorov, A., & Mondie, S. (2019). Necessary stability conditions for neutral-type systems with multiple commensurate delays. International Journal of Control, 92(5), 1155-1166. https://doi.org/10.1080/00207179.2017.1384574

Vancouver

Gomez MA, Egorov A, Mondie S. Necessary stability conditions for neutral-type systems with multiple commensurate delays. International Journal of Control. 2019 May 4;92(5):1155-1166. https://doi.org/10.1080/00207179.2017.1384574

Author

Gomez, Marco A. ; Egorov, Alexey ; Mondie, Sabine. / Necessary stability conditions for neutral-type systems with multiple commensurate delays. In: International Journal of Control. 2019 ; Vol. 92, No. 5. pp. 1155-1166.

BibTeX

@article{0ad87e7fe0c64d54a11a577c20d06532,
title = "Necessary stability conditions for neutral-type systems with multiple commensurate delays",
abstract = "Necessary stability conditions depending on the Lyapunov matrix for neutral-type systems with commensurate delays are presented. In order to obtain them, further results are introduced: the computation of the Lyapunov-Krasovskii functional of complete-type by a new Cauchy formula and the introduction of identities that relate the fundamental and the Lyapunov matrix of the system. The main result is illustrated by some examples.",
keywords = "Neutral-type systems with multiple delays, necessary stability conditions, Lyapunov-Krasovskii functionals, delay Lyapunov matrix, LYAPUNOV MATRICES, FUNCTIONALS, PARAMETERS",
author = "Gomez, {Marco A.} and Alexey Egorov and Sabine Mondie",
year = "2019",
month = may,
day = "4",
doi = "10.1080/00207179.2017.1384574",
language = "Английский",
volume = "92",
pages = "1155--1166",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor & Francis",
number = "5",

}

RIS

TY - JOUR

T1 - Necessary stability conditions for neutral-type systems with multiple commensurate delays

AU - Gomez, Marco A.

AU - Egorov, Alexey

AU - Mondie, Sabine

PY - 2019/5/4

Y1 - 2019/5/4

N2 - Necessary stability conditions depending on the Lyapunov matrix for neutral-type systems with commensurate delays are presented. In order to obtain them, further results are introduced: the computation of the Lyapunov-Krasovskii functional of complete-type by a new Cauchy formula and the introduction of identities that relate the fundamental and the Lyapunov matrix of the system. The main result is illustrated by some examples.

AB - Necessary stability conditions depending on the Lyapunov matrix for neutral-type systems with commensurate delays are presented. In order to obtain them, further results are introduced: the computation of the Lyapunov-Krasovskii functional of complete-type by a new Cauchy formula and the introduction of identities that relate the fundamental and the Lyapunov matrix of the system. The main result is illustrated by some examples.

KW - Neutral-type systems with multiple delays

KW - necessary stability conditions

KW - Lyapunov-Krasovskii functionals

KW - delay Lyapunov matrix

KW - LYAPUNOV MATRICES

KW - FUNCTIONALS

KW - PARAMETERS

U2 - 10.1080/00207179.2017.1384574

DO - 10.1080/00207179.2017.1384574

M3 - статья

VL - 92

SP - 1155

EP - 1166

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 5

ER -

ID: 53690714