Continuous dependence of Lyapunov matrices with respect to perturbations for linear delay systems

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Continuous dependence of Lyapunov matrices with respect to perturbations for linear delay systems. / Aliseyko, Alexey.

в: International Journal of Robust and Nonlinear Control, Том 32, № 6, 04.2022, стр. 3126-3140.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{117df83469e740e393b57335fe93c71e,

title = "Continuous dependence of Lyapunov matrices with respect to perturbations for linear delay systems",

abstract = "In this article, we consider general linear systems whose right-hand sides are represented by the Riemann–Stieltjes integral with kernels given by a matrix function of bounded variation. We establish some minimal requirements on the convergence of the kernels that ensure the convergence of Lyapunov matrices of the perturbed systems. Using functional analytic approach, we analyze the continuity of the dependence of Lyapunov matrices on the right-hand sides. Results obtained in this paper improve the previously known results for multiple delay systems and distributed delay systems. One significant advantage of our approach is that no assumption on the exponential stability is being made.",

keywords = "approximation, delay systems, Lyapunov matrices",

author = "Alexey Aliseyko",

note = "Publisher Copyright: {\textcopyright} 2022 John Wiley & Sons Ltd.",

year = "2022",

month = apr,

doi = "10.1002/rnc.6065",

language = "English",

volume = "32",

pages = "3126--3140",

journal = "International Journal of Robust and Nonlinear Control",

issn = "1049-8923",

publisher = "Wiley-Blackwell",

number = "6",

}

RIS

TY - JOUR

T1 - Continuous dependence of Lyapunov matrices with respect to perturbations for linear delay systems

AU - Aliseyko, Alexey

PY - 2022/4

Y1 - 2022/4

N2 - In this article, we consider general linear systems whose right-hand sides are represented by the Riemann–Stieltjes integral with kernels given by a matrix function of bounded variation. We establish some minimal requirements on the convergence of the kernels that ensure the convergence of Lyapunov matrices of the perturbed systems. Using functional analytic approach, we analyze the continuity of the dependence of Lyapunov matrices on the right-hand sides. Results obtained in this paper improve the previously known results for multiple delay systems and distributed delay systems. One significant advantage of our approach is that no assumption on the exponential stability is being made.

AB - In this article, we consider general linear systems whose right-hand sides are represented by the Riemann–Stieltjes integral with kernels given by a matrix function of bounded variation. We establish some minimal requirements on the convergence of the kernels that ensure the convergence of Lyapunov matrices of the perturbed systems. Using functional analytic approach, we analyze the continuity of the dependence of Lyapunov matrices on the right-hand sides. Results obtained in this paper improve the previously known results for multiple delay systems and distributed delay systems. One significant advantage of our approach is that no assumption on the exponential stability is being made.

KW - approximation

KW - delay systems

KW - Lyapunov matrices

UR - http://www.scopus.com/inward/record.url?scp=85124618589&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/946f37f6-c15e-36c8-a924-90c6d679b4ba/

U2 - 10.1002/rnc.6065

DO - 10.1002/rnc.6065

M3 - Article

AN - SCOPUS:85124618589

VL - 32

SP - 3126

EP - 3140

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 6

ER -

ID: 97591521