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A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals. / Егоров, Алексей Валерьевич; Michiels, Wim; Gomez, Marco A.

в: IEEE Transactions on Automatic Control, Том 71, № 4, 4, 01.04.2026, стр. 2652-2659.

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

Harvard

Егоров, АВ, Michiels, W & Gomez, MA 2026, 'A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals', IEEE Transactions on Automatic Control, Том. 71, № 4, 4, стр. 2652-2659. https://doi.org/10.1109/TAC.2025.3627900

APA

Егоров, А. В., Michiels, W., & Gomez, M. A. (2026). A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals. IEEE Transactions on Automatic Control, 71(4), 2652-2659. [4]. https://doi.org/10.1109/TAC.2025.3627900

Vancouver

Егоров АВ, Michiels W, Gomez MA. A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals. IEEE Transactions on Automatic Control. 2026 Апр. 1;71(4):2652-2659. 4. https://doi.org/10.1109/TAC.2025.3627900

Author

Егоров, Алексей Валерьевич ; Michiels, Wim ; Gomez, Marco A. / A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals. в: IEEE Transactions on Automatic Control. 2026 ; Том 71, № 4. стр. 2652-2659.

BibTeX

@article{ebc4199a3bfc473aa5bb7cde415ff2f9,
title = "A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals",
abstract = "We provide closed formulae for the construction of observers and controllers for linear time-delay systems, within the framework of Lyapunov-Krasovskii functionals of complete type. A main feature of the proposed observers and controllers is that they depend on the full state of the system, resulting in a feedback with a distributed term, and they directly emerge from the inverse of a positive definite operator defined on a Hilbert space, determined by the so-called delay Lyapunov matrix. This latter feature brings the proposed approach on par with well-established results for systems without delays, in which Lyapunov matrices serve not only for system analysis but also for control synthesis.",
keywords = "Detectability, Lyapunov-Krasovskii Functionals, Stabilizability, Detectability, Lyapunov-Krasovskii Functionals, Stabilizability",
author = "Егоров, {Алексей Валерьевич} and Wim Michiels and Gomez, {Marco A.}",
year = "2026",
month = apr,
day = "1",
doi = "10.1109/TAC.2025.3627900",
language = "English",
volume = "71",
pages = "2652--2659",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

RIS

TY - JOUR

T1 - A Constructive Approach to Stabilizability and Detectability of Linear Time-Delay Systems via Complete-Type Functionals

AU - Егоров, Алексей Валерьевич

AU - Michiels, Wim

AU - Gomez, Marco A.

PY - 2026/4/1

Y1 - 2026/4/1

N2 - We provide closed formulae for the construction of observers and controllers for linear time-delay systems, within the framework of Lyapunov-Krasovskii functionals of complete type. A main feature of the proposed observers and controllers is that they depend on the full state of the system, resulting in a feedback with a distributed term, and they directly emerge from the inverse of a positive definite operator defined on a Hilbert space, determined by the so-called delay Lyapunov matrix. This latter feature brings the proposed approach on par with well-established results for systems without delays, in which Lyapunov matrices serve not only for system analysis but also for control synthesis.

AB - We provide closed formulae for the construction of observers and controllers for linear time-delay systems, within the framework of Lyapunov-Krasovskii functionals of complete type. A main feature of the proposed observers and controllers is that they depend on the full state of the system, resulting in a feedback with a distributed term, and they directly emerge from the inverse of a positive definite operator defined on a Hilbert space, determined by the so-called delay Lyapunov matrix. This latter feature brings the proposed approach on par with well-established results for systems without delays, in which Lyapunov matrices serve not only for system analysis but also for control synthesis.

KW - Detectability

KW - Lyapunov-Krasovskii Functionals

KW - Stabilizability

KW - Detectability

KW - Lyapunov-Krasovskii Functionals

KW - Stabilizability

UR - https://www.mendeley.com/catalogue/03235600-9c42-39a4-a3a5-6236733ab389/

U2 - 10.1109/TAC.2025.3627900

DO - 10.1109/TAC.2025.3627900

M3 - Article

VL - 71

SP - 2652

EP - 2659

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 4

M1 - 4

ER -

ID: 145059930