Standard

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

в: Journal of Applied and Industrial Mathematics, Том 13, № 3, 01.07.2019, стр. 511-518.

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

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, Том. 13, № 3, стр. 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 июль 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. в: Journal of Applied and Industrial Mathematics. 2019 ; Том 13, № 3. стр. 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