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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. p. 93-100.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › Research › peer-review

Harvard

Demidenko, GV & Baldanov, DS 2020, Exponential stability of solutions to delay difference equations with periodic coefficients. in Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, pp. 93-100. https://doi.org/10.1007/978-3-030-38870-6_13

APA

Demidenko, G. V., & Baldanov, D. S. (2020). Exponential stability of solutions to delay difference equations with periodic coefficients. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov (pp. 93-100). Springer International Publishing AG. https://doi.org/10.1007/978-3-030-38870-6_13

Vancouver

Demidenko GV, Baldanov DS. Exponential stability of solutions to delay difference equations with periodic coefficients. In Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG. 2020. p. 93-100 doi: 10.1007/978-3-030-38870-6_13

Author

Demidenko, G. V. ; Baldanov, D. S. / Exponential stability of solutions to delay difference equations with periodic coefficients. Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy: A Liber Amicorum to Professor Godunov. Springer International Publishing AG, 2020. pp. 93-100

BibTeX

@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",

}

RIS

TY - CHAP

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

AU - Demidenko, G. V.

AU - Baldanov, D. S.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2020.

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 -

ID: 34192822