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Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel. / Ortiz, Reynaldo; Egorov, Alexey; Mondié, Sabine.

In: IFAC-PapersOnLine, Vol. 55, No. 36, 01.01.2022, p. 186-191.

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

Harvard

Ortiz, R, Egorov, A & Mondié, S 2022, 'Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel', IFAC-PapersOnLine, vol. 55, no. 36, pp. 186-191. https://doi.org/10.1016/j.ifacol.2022.11.355, https://doi.org/10.1016/j.ifacol.2022.11.355

APA

Ortiz, R., Egorov, A., & Mondié, S. (2022). Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel. IFAC-PapersOnLine, 55(36), 186-191. https://doi.org/10.1016/j.ifacol.2022.11.355, https://doi.org/10.1016/j.ifacol.2022.11.355

Vancouver

Ortiz R, Egorov A, Mondié S. Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel. IFAC-PapersOnLine. 2022 Jan 1;55(36):186-191. https://doi.org/10.1016/j.ifacol.2022.11.355, https://doi.org/10.1016/j.ifacol.2022.11.355

Author

Ortiz, Reynaldo ; Egorov, Alexey ; Mondié, Sabine. / Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel. In: IFAC-PapersOnLine. 2022 ; Vol. 55, No. 36. pp. 186-191.

BibTeX

@article{8a85bec4c132460586d1028fa381c022,
title = "Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel",
abstract = "Integral delay systems with piecewise constant kernel are studied. The delay Lyapunov matrix for the case of commensurate delays is computed by solving an auxiliary boundary value problem of delay-free linear matrix differential equations. The relation between the solution of the auxiliary system and the delay Lyapunov matrix is discussed. It is also shown that if the integral delay system satisfies the Lyapunov condition, then the delay Lyapunov matrix is unique.",
author = "Reynaldo Ortiz and Alexey Egorov and Sabine Mondi{\'e}",
year = "2022",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2022.11.355",
language = "English",
volume = "55",
pages = "186--191",
journal = "IFAC-PapersOnLine",
issn = "2405-8971",
publisher = "Elsevier",
number = "36",

}

RIS

TY - JOUR

T1 - Lyapunov Matrices for Integral Delay Systems with Piecewise Constant Kernel

AU - Ortiz, Reynaldo

AU - Egorov, Alexey

AU - Mondié, Sabine

PY - 2022/1/1

Y1 - 2022/1/1

N2 - Integral delay systems with piecewise constant kernel are studied. The delay Lyapunov matrix for the case of commensurate delays is computed by solving an auxiliary boundary value problem of delay-free linear matrix differential equations. The relation between the solution of the auxiliary system and the delay Lyapunov matrix is discussed. It is also shown that if the integral delay system satisfies the Lyapunov condition, then the delay Lyapunov matrix is unique.

AB - Integral delay systems with piecewise constant kernel are studied. The delay Lyapunov matrix for the case of commensurate delays is computed by solving an auxiliary boundary value problem of delay-free linear matrix differential equations. The relation between the solution of the auxiliary system and the delay Lyapunov matrix is discussed. It is also shown that if the integral delay system satisfies the Lyapunov condition, then the delay Lyapunov matrix is unique.

U2 - 10.1016/j.ifacol.2022.11.355

DO - 10.1016/j.ifacol.2022.11.355

M3 - Article

VL - 55

SP - 186

EP - 191

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8971

IS - 36

ER -

ID: 119399323