Standard

The delay Lyapunov matrix in robust stability analysis of time-delay systems. / Egorov, Alexey V.; Mondié, Sabine.

In: IFAC-PapersOnLine, Vol. 28, No. 12, 01.07.2015, p. 245-250.

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

Harvard

Egorov, AV & Mondié, S 2015, 'The delay Lyapunov matrix in robust stability analysis of time-delay systems', IFAC-PapersOnLine, vol. 28, no. 12, pp. 245-250. https://doi.org/10.1016/j.ifacol.2015.09.385

APA

Egorov, A. V., & Mondié, S. (2015). The delay Lyapunov matrix in robust stability analysis of time-delay systems. IFAC-PapersOnLine, 28(12), 245-250. https://doi.org/10.1016/j.ifacol.2015.09.385

Vancouver

Egorov AV, Mondié S. The delay Lyapunov matrix in robust stability analysis of time-delay systems. IFAC-PapersOnLine. 2015 Jul 1;28(12):245-250. https://doi.org/10.1016/j.ifacol.2015.09.385

Author

Egorov, Alexey V. ; Mondié, Sabine. / The delay Lyapunov matrix in robust stability analysis of time-delay systems. In: IFAC-PapersOnLine. 2015 ; Vol. 28, No. 12. pp. 245-250.

BibTeX

@article{a71592e23aca4fe19fe7081afffd700b,
title = "The delay Lyapunov matrix in robust stability analysis of time-delay systems",
abstract = "The maximum of the norm of the delay Lyapunov matrix function of exponentially stable linear time-delay systems is proven to be achieved at zero. We apply this result to the robust stability analysis of systems with multiple delays. We consider the cases of uncertain matrices of the system and uncertain delays.",
keywords = "Lyapunov matrix, Lyapunov-krasovskii functional, Robust stability, Time-delay system, Uncertain delay",
author = "Egorov, {Alexey V.} and Sabine Mondi{\'e}",
year = "2015",
month = jul,
day = "1",
doi = "10.1016/j.ifacol.2015.09.385",
language = "English",
volume = "28",
pages = "245--250",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "12",

}

RIS

TY - JOUR

T1 - The delay Lyapunov matrix in robust stability analysis of time-delay systems

AU - Egorov, Alexey V.

AU - Mondié, Sabine

PY - 2015/7/1

Y1 - 2015/7/1

N2 - The maximum of the norm of the delay Lyapunov matrix function of exponentially stable linear time-delay systems is proven to be achieved at zero. We apply this result to the robust stability analysis of systems with multiple delays. We consider the cases of uncertain matrices of the system and uncertain delays.

AB - The maximum of the norm of the delay Lyapunov matrix function of exponentially stable linear time-delay systems is proven to be achieved at zero. We apply this result to the robust stability analysis of systems with multiple delays. We consider the cases of uncertain matrices of the system and uncertain delays.

KW - Lyapunov matrix

KW - Lyapunov-krasovskii functional

KW - Robust stability

KW - Time-delay system

KW - Uncertain delay

UR - http://www.scopus.com/inward/record.url?scp=84954163135&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2015.09.385

DO - 10.1016/j.ifacol.2015.09.385

M3 - Article

AN - SCOPUS:84954163135

VL - 28

SP - 245

EP - 250

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 12

ER -

ID: 9227373