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An Improved Lyapunov Stability Test for Linear Time-Delay Systems. / Egorov, Alexey.

2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. p. 2489-2494 9303816 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Egorov, A 2020, An Improved Lyapunov Stability Test for Linear Time-Delay Systems. in 2020 59th IEEE Conference on Decision and Control, CDC 2020., 9303816, Proceedings of the IEEE Conference on Decision and Control, vol. 2020-December, Institute of Electrical and Electronics Engineers Inc., pp. 2489-2494, 59th IEEE Conference on Decision and Control, CDC 2020, Virtual, Jeju Island, Korea, Republic of, 14/12/20. https://doi.org/10.1109/CDC42340.2020.9303816

APA

Egorov, A. (2020). An Improved Lyapunov Stability Test for Linear Time-Delay Systems. In 2020 59th IEEE Conference on Decision and Control, CDC 2020 (pp. 2489-2494). [9303816] (Proceedings of the IEEE Conference on Decision and Control; Vol. 2020-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC42340.2020.9303816

Vancouver

Egorov A. An Improved Lyapunov Stability Test for Linear Time-Delay Systems. In 2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc. 2020. p. 2489-2494. 9303816. (Proceedings of the IEEE Conference on Decision and Control). https://doi.org/10.1109/CDC42340.2020.9303816

Author

Egorov, Alexey. / An Improved Lyapunov Stability Test for Linear Time-Delay Systems. 2020 59th IEEE Conference on Decision and Control, CDC 2020. Institute of Electrical and Electronics Engineers Inc., 2020. pp. 2489-2494 (Proceedings of the IEEE Conference on Decision and Control).

BibTeX

@inproceedings{71a219e4759e42a08fca6534f83d026b,
title = "An Improved Lyapunov Stability Test for Linear Time-Delay Systems",
abstract = "This paper presents an improved necessary and sufficient condition of exponential stability for LTI delay systems. By this criterion, the stability analysis of any system of the class can be reduced to verification of the positive definiteness of a special matrix (which is based on the delay Lyapunov matrix). The dimension of the matrix depends on the parameters of the system, and the goal of this paper is to make it smaller. We applied a new technique, and reduced the dimension by about half.",
author = "Alexey Egorov",
year = "2020",
month = dec,
day = "14",
doi = "10.1109/CDC42340.2020.9303816",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "2489--2494",
booktitle = "2020 59th IEEE Conference on Decision and Control, CDC 2020",
address = "United States",
note = "59th IEEE Conference on Decision and Control, CDC 2020 ; Conference date: 14-12-2020 Through 18-12-2020",

}

RIS

TY - GEN

T1 - An Improved Lyapunov Stability Test for Linear Time-Delay Systems

AU - Egorov, Alexey

PY - 2020/12/14

Y1 - 2020/12/14

N2 - This paper presents an improved necessary and sufficient condition of exponential stability for LTI delay systems. By this criterion, the stability analysis of any system of the class can be reduced to verification of the positive definiteness of a special matrix (which is based on the delay Lyapunov matrix). The dimension of the matrix depends on the parameters of the system, and the goal of this paper is to make it smaller. We applied a new technique, and reduced the dimension by about half.

AB - This paper presents an improved necessary and sufficient condition of exponential stability for LTI delay systems. By this criterion, the stability analysis of any system of the class can be reduced to verification of the positive definiteness of a special matrix (which is based on the delay Lyapunov matrix). The dimension of the matrix depends on the parameters of the system, and the goal of this paper is to make it smaller. We applied a new technique, and reduced the dimension by about half.

UR - http://www.scopus.com/inward/record.url?scp=85099878384&partnerID=8YFLogxK

U2 - 10.1109/CDC42340.2020.9303816

DO - 10.1109/CDC42340.2020.9303816

M3 - Conference contribution

AN - SCOPUS:85099878384

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 2489

EP - 2494

BT - 2020 59th IEEE Conference on Decision and Control, CDC 2020

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 59th IEEE Conference on Decision and Control, CDC 2020

Y2 - 14 December 2020 through 18 December 2020

ER -

ID: 73671397