Lyapunov-Krasovskii Functional with Prescribed Derivative and Lyapunov Matrix for Delay System with Distributed Parameters

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Lyapunov-Krasovskii Functional with Prescribed Derivative and Lyapunov Matrix for Delay System with Distributed Parameters. / Егоров, Алексей Валерьевич ; Маковеева, Полина Евгеньевна.

44th Chinese Control Conference (CCC 2025), 2025. Institute of Electrical and Electronics Engineers Inc., 2025. стр. 1120-1125 (Proceedings of Chinese Control Conference).

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

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Егоров, АВ & Маковеева, ПЕ 2025, Lyapunov-Krasovskii Functional with Prescribed Derivative and Lyapunov Matrix for Delay System with Distributed Parameters. в 44th Chinese Control Conference (CCC 2025), 2025. Proceedings of Chinese Control Conference, Institute of Electrical and Electronics Engineers Inc., стр. 1120-1125, The 44th Chinese Control Conference, Чунцин, Китай, 28/07/25. https://doi.org/10.23919/ccc64809.2025.11179030

BibTeX

@inproceedings{76f470e6adff4f0f9c07cea0aab5d327,

title = "Lyapunov-Krasovskii Functional with Prescribed Derivative and Lyapunov Matrix for Delay System with Distributed Parameters",

abstract = "The method of Lyapunov-Krasovskii functionals is widely used to study stability and robust stability. An important part of this method is the construction of the Lyapunov functional matrix. In this paper we consider time-delay equation with distributed parameters. An explicit form of the functional with prescribed derivative is presented. The basic properties defining the Lyapunov matrix are found and its explicit form is presented for the case of an exponentially stable system.",

keywords = "analytical models, robust stability, partial differential equations, delay systems, delay effects, stability analysis, mathematical models, delays, Lyapunov matrix, time delay systems, Lyapunov-Krasovskii functionals",

author = "Егоров, {Алексей Валерьевич} and Маковеева, {Полина Евгеньевна}",

year = "2025",

month = oct,

doi = "10.23919/ccc64809.2025.11179030",

language = "English",

isbn = "9789887581611",

series = "Proceedings of Chinese Control Conference",

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

pages = "1120--1125",

booktitle = "44th Chinese Control Conference (CCC 2025), 2025",

address = "United States",

note = "The 44th Chinese Control Conference, CCC 2025 ; Conference date: 28-07-2025 Through 30-07-2025",

url = "https://ccc2025.cqu.edu.cn/en/Home.htm",

}

RIS

TY - GEN

T1 - Lyapunov-Krasovskii Functional with Prescribed Derivative and Lyapunov Matrix for Delay System with Distributed Parameters

AU - Егоров, Алексей Валерьевич

AU - Маковеева, Полина Евгеньевна

PY - 2025/10

Y1 - 2025/10

N2 - The method of Lyapunov-Krasovskii functionals is widely used to study stability and robust stability. An important part of this method is the construction of the Lyapunov functional matrix. In this paper we consider time-delay equation with distributed parameters. An explicit form of the functional with prescribed derivative is presented. The basic properties defining the Lyapunov matrix are found and its explicit form is presented for the case of an exponentially stable system.

AB - The method of Lyapunov-Krasovskii functionals is widely used to study stability and robust stability. An important part of this method is the construction of the Lyapunov functional matrix. In this paper we consider time-delay equation with distributed parameters. An explicit form of the functional with prescribed derivative is presented. The basic properties defining the Lyapunov matrix are found and its explicit form is presented for the case of an exponentially stable system.

KW - analytical models

KW - robust stability

KW - partial differential equations

KW - delay systems

KW - delay effects

KW - stability analysis

KW - mathematical models

KW - delays

KW - Lyapunov matrix

KW - time delay systems

KW - Lyapunov-Krasovskii functionals

UR - https://www.mendeley.com/catalogue/2e3a06cf-4962-3817-9e12-8ac824ff52d1/

U2 - 10.23919/ccc64809.2025.11179030

DO - 10.23919/ccc64809.2025.11179030

M3 - Conference contribution

SN - 9789887581611

T3 - Proceedings of Chinese Control Conference

SP - 1120

EP - 1125

BT - 44th Chinese Control Conference (CCC 2025), 2025

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - The 44th Chinese Control Conference

Y2 - 28 July 2025 through 30 July 2025

ER -

ID: 143022727