Exponential stability of solutions to delay difference equations with periodic coefficients

G. V. Demidenko; D. S. Baldanov

doi:10.1007/978-3-030-38870-6_13

Exponential stability of solutions to delay difference equations with periodic coefficients

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

Аннотация

In the paper,we consider systems of linear delay difference equations with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution to the systems and obtain estimates of the stabilization rate of solutions at infinity.When obtaining the resultsweuse a discrete analog ofLyapunov- Krasovskii functional.

Язык оригинала	английский
Название основной публикации	Continuum Mechanics, Applied Mathematics and Scientific Computing
Подзаголовок основной публикации	Godunov's Legacy: A Liber Amicorum to Professor Godunov
Издатель	Springer International Publishing AG
Страницы	93-100
Число страниц	8
ISBN (электронное издание)	9783030388706
ISBN (печатное издание)	9783030388690
DOI	https://doi.org/10.1007/978-3-030-38870-6_13
Состояние	Опубликовано - 3 апр. 2020

Предметные области OECD FOS+WOS

1.03 ФИЗИЧЕСКИЕ НАУКИ И АСТРОНОМИЯ
1.01 МАТЕМАТИКА
2.05 ТЕХНОЛОГИЯ МАТЕРИАЛОВ

Доступ к документу

10.1007/978-3-030-38870-6_13

Другие файлы и ссылки

Ссылка на публикацию в Scopus

Fingerprint

Подробные сведения о темах исследования «Exponential stability of solutions to delay difference equations with periodic coefficients». Вместе они формируют уникальный семантический отпечаток (fingerprint).

Цитировать

@inbook{f110fb9ef9014829b794a29ca5be9aee,

title = "Exponential stability of solutions to delay difference equations with periodic coefficients",

abstract = "In the paper,we consider systems of linear delay difference equations with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution to the systems and obtain estimates of the stabilization rate of solutions at infinity.When obtaining the resultsweuse a discrete analog ofLyapunov- Krasovskii functional.",

author = "Demidenko, {G. V.} and Baldanov, {D. S.}",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2020.",

year = "2020",

month = apr,

day = "3",

doi = "10.1007/978-3-030-38870-6_13",

language = "English",

isbn = "9783030388690",

pages = "93--100",

booktitle = "Continuum Mechanics, Applied Mathematics and Scientific Computing",

publisher = "Springer International Publishing AG",

address = "Switzerland",

}

Exponential stability of solutions to delay difference equations with periodic coefficients. / Demidenko, G. V.; Baldanov, D. S.

Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. стр. 93-100.

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › рецензирование

TY - CHAP

T1 - Exponential stability of solutions to delay difference equations with periodic coefficients

AU - Demidenko, G. V.

AU - Baldanov, D. S.

PY - 2020/4/3

Y1 - 2020/4/3

N2 - In the paper,we consider systems of linear delay difference equations with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution to the systems and obtain estimates of the stabilization rate of solutions at infinity.When obtaining the resultsweuse a discrete analog ofLyapunov- Krasovskii functional.

AB - In the paper,we consider systems of linear delay difference equations with periodic coefficients. We establish sufficient conditions for the asymptotic stability of the zero solution to the systems and obtain estimates of the stabilization rate of solutions at infinity.When obtaining the resultsweuse a discrete analog ofLyapunov- Krasovskii functional.

UR - http://www.scopus.com/inward/record.url?scp=85114655603&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-38870-6_13

DO - 10.1007/978-3-030-38870-6_13

M3 - Chapter

AN - SCOPUS:85114655603

SN - 9783030388690

SP - 93

EP - 100

BT - Continuum Mechanics, Applied Mathematics and Scientific Computing

PB - Springer International Publishing AG

ER -