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A finite necessary and sufficient stability condition for linear retarded type systems. / Egorov, A.V.

2016 IEEE 55th Conference on Decision and Control, CDC 2016. 2016. p. 3155-3160.

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

Harvard

Egorov, AV 2016, A finite necessary and sufficient stability condition for linear retarded type systems. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016. pp. 3155-3160. https://doi.org/10.1109/CDC.2016.7798742

APA

Egorov, A. V. (2016). A finite necessary and sufficient stability condition for linear retarded type systems. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016 (pp. 3155-3160) https://doi.org/10.1109/CDC.2016.7798742

Vancouver

Egorov AV. A finite necessary and sufficient stability condition for linear retarded type systems. In 2016 IEEE 55th Conference on Decision and Control, CDC 2016. 2016. p. 3155-3160 https://doi.org/10.1109/CDC.2016.7798742

Author

Egorov, A.V. / A finite necessary and sufficient stability condition for linear retarded type systems. 2016 IEEE 55th Conference on Decision and Control, CDC 2016. 2016. pp. 3155-3160

BibTeX

@inproceedings{610f22cbe9b84da494ae4d244ca2a2e6,
title = "A finite necessary and sufficient stability condition for linear retarded type systems",
abstract = "{\textcopyright} 2016 IEEE.This paper presents a criterion of exponential stability for time-invariant linear delay systems of retarded type. The criterion, which is based on the delay Lyapunov matrix, generalizes the Lyapunov stability theorem for ordinary differential systems. We show how to construct a special matrix, which is positive definite, if the system is exponentially stable, and is not positive definite otherwise.",
author = "A.V. Egorov",
year = "2016",
doi = "10.1109/CDC.2016.7798742",
language = "English",
isbn = "9781509018376",
pages = "3155--3160",
booktitle = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

}

RIS

TY - GEN

T1 - A finite necessary and sufficient stability condition for linear retarded type systems

AU - Egorov, A.V.

PY - 2016

Y1 - 2016

N2 - © 2016 IEEE.This paper presents a criterion of exponential stability for time-invariant linear delay systems of retarded type. The criterion, which is based on the delay Lyapunov matrix, generalizes the Lyapunov stability theorem for ordinary differential systems. We show how to construct a special matrix, which is positive definite, if the system is exponentially stable, and is not positive definite otherwise.

AB - © 2016 IEEE.This paper presents a criterion of exponential stability for time-invariant linear delay systems of retarded type. The criterion, which is based on the delay Lyapunov matrix, generalizes the Lyapunov stability theorem for ordinary differential systems. We show how to construct a special matrix, which is positive definite, if the system is exponentially stable, and is not positive definite otherwise.

U2 - 10.1109/CDC.2016.7798742

DO - 10.1109/CDC.2016.7798742

M3 - Conference contribution

SN - 9781509018376

SP - 3155

EP - 3160

BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

ER -

ID: 7966963