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

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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, 31.10.2025.

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

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 = "2025",

month = oct,

day = "31",

doi = "10.1109/TAC.2025.3627900",

language = "English",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

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 - 2025/10/31

Y1 - 2025/10/31

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

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

ER -

ID: 145059930