On the exponential stability of solutions of periodic systems of the neutral type with several delays

I. I. Matveeva

doi:10.1134/S0012266117060039

On the exponential stability of solutions of periodic systems of the neutral type with several delays

I. I. Matveeva

Кафедра дифференциальных уравнений ММФ

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

4 Цитирования (Scopus)

Аннотация

We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.

Язык оригинала	английский
Страницы (с-по)	725-735
Число страниц	11
Журнал	Differential Equations
Том	53
Номер выпуска	6
DOI	https://doi.org/10.1134/S0012266117060039
Состояние	Опубликовано - 1 июн. 2017

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10.1134/S0012266117060039

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On the exponential stability of solutions of periodic systems of the neutral type with several delays. / Matveeva, I. I.

В: Differential Equations, Том 53, № 6, 01.06.2017, стр. 725-735.

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

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AB - We obtain conditions for the exponential stability of the zero solution of linear periodic systems of differential equations of the neutral type with several constant delays, which are stated in terms of a Lyapunov–Krasovskii functional of a special form. We derive estimates that specify the decay rate of solutions at infinity.

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