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Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients. / Matveeva, I. I.

In: Journal of Applied and Industrial Mathematics, Vol. 13, No. 3, 01.07.2019, p. 511-518.

Research output: Contribution to journal › Article › peer-review

Harvard

Matveeva, II 2019, 'Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients', Journal of Applied and Industrial Mathematics, vol. 13, no. 3, pp. 511-518. https://doi.org/10.1134/S1990478919030116

APA

Matveeva, I. I. (2019). Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients. Journal of Applied and Industrial Mathematics, 13(3), 511-518. https://doi.org/10.1134/S1990478919030116

Vancouver

Matveeva II. Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients. Journal of Applied and Industrial Mathematics. 2019 Jul 1;13(3):511-518. doi: 10.1134/S1990478919030116

Author

Matveeva, I. I. / Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients. In: Journal of Applied and Industrial Mathematics. 2019 ; Vol. 13, No. 3. pp. 511-518.

BibTeX

@article{3b413a4e22344a629217959cd96d76eb,
title = "Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients",
abstract = "We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov–Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.",
keywords = "exponential stability, Lyapunov–Krasovskiĭ functional, periodic coefficients, time-delay system of neutral type",
author = "Matveeva, {I. I.}",
year = "2019",
month = jul,
day = "1",
doi = "10.1134/S1990478919030116",
language = "English",
volume = "13",
pages = "511--518",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Estimates of the Exponential Decay of Solutions to Linear Systems of Neutral Type with Periodic Coefficients

AU - Matveeva, I. I.

PY - 2019/7/1

Y1 - 2019/7/1

N2 - We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov–Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.

AB - We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov–Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.

KW - exponential stability

KW - Lyapunov–Krasovskiĭ functional

KW - periodic coefficients

KW - time-delay system of neutral type

UR - http://www.scopus.com/inward/record.url?scp=85071645028&partnerID=8YFLogxK

U2 - 10.1134/S1990478919030116

DO - 10.1134/S1990478919030116

M3 - Article

AN - SCOPUS:85071645028

VL - 13

SP - 511

EP - 518

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 21472277