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

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 s...

Full description

Saved in:
Bibliographic Details
Published inJournal of applied and industrial mathematics Vol. 13; no. 3; pp. 511 - 518
Main Author Matveeva, I. I.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.07.2019
Springer Nature B.V
Subjects
Decay rate
Differential equations
Linear systems
Mathematics
Mathematics and Statistics
time-delay system of neutral type
periodic coefficients
Lyapunov–Krasovskiĭ functional
exponential stability
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478919030116