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Approximation of delay Lyapunov matrices. / Egorov, A.; Kharitonov, V. L.

In: International Journal of Control, Vol. 91, No. 11, 02.11.2018, p. 2588-2596.

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

Harvard

Egorov, A & Kharitonov, VL 2018, 'Approximation of delay Lyapunov matrices', International Journal of Control, vol. 91, no. 11, pp. 2588-2596. https://doi.org/10.1080/00207179.2016.1269950

APA

Egorov, A., & Kharitonov, V. L. (2018). Approximation of delay Lyapunov matrices. International Journal of Control, 91(11), 2588-2596. https://doi.org/10.1080/00207179.2016.1269950

Vancouver

Egorov A, Kharitonov VL. Approximation of delay Lyapunov matrices. International Journal of Control. 2018 Nov 2;91(11):2588-2596. https://doi.org/10.1080/00207179.2016.1269950

Author

Egorov, A. ; Kharitonov, V. L. / Approximation of delay Lyapunov matrices. In: International Journal of Control. 2018 ; Vol. 91, No. 11. pp. 2588-2596.

BibTeX

@article{b0976bcf0882439caa6c6a3bf357a792,
title = "Approximation of delay Lyapunov matrices",
abstract = "The paper deals with the computation of delay Lyapunov matrices for linear exponentially stable time-invariant systems with several pointwise delays. It is shown that the matrices depend continuously on the system delays. Based on this theoretical result, an algorithm of approximation of the delay Lyapunov matrices with a prescribed accuracy is presented. The result is illustrated by an example.",
keywords = "Time-delay system, Lyapunov matrix, Lyapunov-Krasovskii approach, complete-type functional, approximation, ROBUST STABILITY ANALYSIS",
author = "A. Egorov and Kharitonov, {V. L.}",
year = "2018",
month = nov,
day = "2",
doi = "10.1080/00207179.2016.1269950",
language = "Английский",
volume = "91",
pages = "2588--2596",
journal = "International Journal of Control",
issn = "0020-7179",
publisher = "Taylor & Francis",
number = "11",

}

RIS

TY - JOUR

T1 - Approximation of delay Lyapunov matrices

AU - Egorov, A.

AU - Kharitonov, V. L.

PY - 2018/11/2

Y1 - 2018/11/2

N2 - The paper deals with the computation of delay Lyapunov matrices for linear exponentially stable time-invariant systems with several pointwise delays. It is shown that the matrices depend continuously on the system delays. Based on this theoretical result, an algorithm of approximation of the delay Lyapunov matrices with a prescribed accuracy is presented. The result is illustrated by an example.

AB - The paper deals with the computation of delay Lyapunov matrices for linear exponentially stable time-invariant systems with several pointwise delays. It is shown that the matrices depend continuously on the system delays. Based on this theoretical result, an algorithm of approximation of the delay Lyapunov matrices with a prescribed accuracy is presented. The result is illustrated by an example.

KW - Time-delay system

KW - Lyapunov matrix

KW - Lyapunov-Krasovskii approach

KW - complete-type functional

KW - approximation

KW - ROBUST STABILITY ANALYSIS

U2 - 10.1080/00207179.2016.1269950

DO - 10.1080/00207179.2016.1269950

M3 - статья

VL - 91

SP - 2588

EP - 2596

JO - International Journal of Control

JF - International Journal of Control

SN - 0020-7179

IS - 11

ER -

ID: 53564730