On stability of solutions to neutral type systems

Inessa Izotovna Matveeva

doi:10.33048/semi.2019.16.050

On stability of solutions to neutral type systems

Inessa Izotovna Matveeva

Differential Equations Section

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

4 Citations (Scopus)

Abstract

We consider a class of linear time-varying delay systems of neutral type with periodic coefficients. We obtain conditions for the exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity.

Translated title of the contribution	Об экспоненциальной устойчивости решений линейных периодических систем нейтрального типа с переменным запаздыванием
Original language	English
Pages (from-to)	748-756
Number of pages	9
Journal	Siberian Electronic Mathematical Reports
Volume	16
DOIs	https://doi.org/10.33048/semi.2019.16.050
Publication status	Published - 1 Jan 2019

Keywords

time-varying delay systems
neutral type
periodic coefficients
exponential stability
estimates for solutions
DIFFERENTIAL-EQUATIONS

State classification of scientific and technological information

27.29 Ordinary differential equations

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

abstract = "We consider a class of linear time-varying delay systems of neutral type with periodic coefficients. We obtain conditions for the exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity.",

keywords = "Estimates for solutions, Exponential stability, Neutral type, Periodic coefficients, Time-varying delay systems, time-varying delay systems, neutral type, periodic coefficients, exponential stability, estimates for solutions, DIFFERENTIAL-EQUATIONS",

author = "Matveeva, {Inessa Izotovna}",

year = "2019",

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AB - We consider a class of linear time-varying delay systems of neutral type with periodic coefficients. We obtain conditions for the exponential stability of the zero solution and establish estimates characterizing the exponential decay rate of solutions at infinity.

KW - Estimates for solutions

KW - Exponential stability

KW - Neutral type

KW - Periodic coefficients

KW - Time-varying delay systems

KW - time-varying delay systems

KW - neutral type

KW - periodic coefficients

KW - exponential stability

KW - estimates for solutions

KW - DIFFERENTIAL-EQUATIONS

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JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

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