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Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue. / Егоров, Алексей Валерьевич; Aleksandrova, Irina.

19th IFAC Workshop on Time Delay Systems, TDS 2025. Том 59(13) International Federation of Automatic Control, 2025. стр. 82-87 (IFAC-PapersOnLine).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Егоров, АВ & Aleksandrova, I 2025, Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue. в 19th IFAC Workshop on Time Delay Systems, TDS 2025. Том. 59(13), IFAC-PapersOnLine, International Federation of Automatic Control, стр. 82-87, 19th IFAC Workshop on Time Delay Systems, Gif-sur-Yvette, Франция, 30/06/25. https://doi.org/10.1016/j.ifacol.2025.10.015

APA

Егоров, А. В., & Aleksandrova, I. (2025). Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue. в 19th IFAC Workshop on Time Delay Systems, TDS 2025 (Том 59(13), стр. 82-87). (IFAC-PapersOnLine). International Federation of Automatic Control. https://doi.org/10.1016/j.ifacol.2025.10.015

Vancouver

Егоров АВ, Aleksandrova I. Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue. в 19th IFAC Workshop on Time Delay Systems, TDS 2025. Том 59(13). International Federation of Automatic Control. 2025. стр. 82-87. (IFAC-PapersOnLine). https://doi.org/10.1016/j.ifacol.2025.10.015

Author

Егоров, Алексей Валерьевич ; Aleksandrova, Irina. / Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue. 19th IFAC Workshop on Time Delay Systems, TDS 2025. Том 59(13) International Federation of Automatic Control, 2025. стр. 82-87 (IFAC-PapersOnLine).

BibTeX

@inproceedings{2aa2d42f302c4d8c9c6af57fe8930718,
title = "Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue",
abstract = "In this work, the problem of computation of the delay Lyapunov matrix is addressed for a scalar retarded-type equation with multiple arbitrary delays, commensurate or not. It is shown that this matrix, which is a function in the scalar case, constitutes a solution of the Fredholm integral equation of the second kind with a piecewise constant kernel. A numerical procedure for its computation is then developed based on the theory of Fredholm equations.",
keywords = "delay, exponential stability, Fredholm integral equation, linear systems, Lyapunov matrices",
author = "Егоров, {Алексей Валерьевич} and Irina Aleksandrova",
year = "2025",
month = jul,
day = "1",
doi = "10.1016/j.ifacol.2025.10.015",
language = "English",
volume = "59(13)",
series = "IFAC-PapersOnLine",
publisher = "International Federation of Automatic Control",
pages = "82--87",
booktitle = "19th IFAC Workshop on Time Delay Systems, TDS 2025",
address = "Austria",
note = "null ; Conference date: 30-06-2025 Through 02-07-2025",

}

RIS

TY - GEN

T1 - Delay Lyapunov Matrix for a Scalar Equation With Multiple Delays: Computational Issue

AU - Егоров, Алексей Валерьевич

AU - Aleksandrova, Irina

N1 - Conference code: 19

PY - 2025/7/1

Y1 - 2025/7/1

N2 - In this work, the problem of computation of the delay Lyapunov matrix is addressed for a scalar retarded-type equation with multiple arbitrary delays, commensurate or not. It is shown that this matrix, which is a function in the scalar case, constitutes a solution of the Fredholm integral equation of the second kind with a piecewise constant kernel. A numerical procedure for its computation is then developed based on the theory of Fredholm equations.

AB - In this work, the problem of computation of the delay Lyapunov matrix is addressed for a scalar retarded-type equation with multiple arbitrary delays, commensurate or not. It is shown that this matrix, which is a function in the scalar case, constitutes a solution of the Fredholm integral equation of the second kind with a piecewise constant kernel. A numerical procedure for its computation is then developed based on the theory of Fredholm equations.

KW - delay

KW - exponential stability

KW - Fredholm integral equation

KW - linear systems

KW - Lyapunov matrices

U2 - 10.1016/j.ifacol.2025.10.015

DO - 10.1016/j.ifacol.2025.10.015

M3 - Conference contribution

VL - 59(13)

T3 - IFAC-PapersOnLine

SP - 82

EP - 87

BT - 19th IFAC Workshop on Time Delay Systems, TDS 2025

PB - International Federation of Automatic Control

Y2 - 30 June 2025 through 2 July 2025

ER -

ID: 145066586