On exponential stability of solutions to periodic neutral-type systems

I. I. Matveeva

doi:10.1134/S0037446617020082

On exponential stability of solutions to periodic neutral-type systems

I. I. Matveeva

Кафедра дифференциальных уравнений ММФ

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

10 Цитирования (Scopus)

Аннотация

We consider periodic systems of delay equations. Exponential stability conditions for the zero solution are pointed out by using the Lyapunov-Krasovskiĭ functional. We give some estimates that characterize the decay rate of solutions at infinity.

Язык оригинала	английский
Страницы (с-по)	264-270
Число страниц	7
Журнал	Siberian Mathematical Journal
Том	58
Номер выпуска	2
DOI	https://doi.org/10.1134/S0037446617020082
Состояние	Опубликовано - 1 мар 2017

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10.1134/S0037446617020082

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title = "On exponential stability of solutions to periodic neutral-type systems",

abstract = "We consider periodic systems of delay equations. Exponential stability conditions for the zero solution are pointed out by using the Lyapunov-Krasovskiĭ functional. We give some estimates that characterize the decay rate of solutions at infinity.",

keywords = "delay differential equation, estimate of solutions, exponential stability, periodic coefficient, COEFFICIENTS, DIFFERENTIAL-EQUATIONS",

author = "Matveeva, {I. I.}",

year = "2017",

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T1 - On exponential stability of solutions to periodic neutral-type systems

AU - Matveeva, I. I.

PY - 2017/3/1

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N2 - We consider periodic systems of delay equations. Exponential stability conditions for the zero solution are pointed out by using the Lyapunov-Krasovskiĭ functional. We give some estimates that characterize the decay rate of solutions at infinity.

AB - We consider periodic systems of delay equations. Exponential stability conditions for the zero solution are pointed out by using the Lyapunov-Krasovskiĭ functional. We give some estimates that characterize the decay rate of solutions at infinity.

KW - delay differential equation

KW - estimate of solutions

KW - exponential stability

KW - periodic coefficient

KW - COEFFICIENTS

KW - DIFFERENTIAL-EQUATIONS

UR - http://www.scopus.com/inward/record.url?scp=85018854579&partnerID=8YFLogxK

U2 - 10.1134/S0037446617020082

DO - 10.1134/S0037446617020082

M3 - Article

AN - SCOPUS:85018854579

VL - 58

SP - 264

EP - 270

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

On exponential stability of solutions to periodic neutral-type systems

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