Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay

被引：0

作者：

Yskak, T. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 14期

基金：

俄罗斯基础研究基金会;

关键词：

exponential stability; Lyapunov-Krasovskii functional; distributed delay; neutral type equation; estimates of solutions; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY;

D O I：

10.1134/S1995080222020196

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a system of linear autonomous differential equations of neutral type with distributed delay. Sufficient conditions for the exponential stability of the zero solution of this system are given, estimates of solutions that characterize the exponential decrease at infinity are indicated. In the study of exponential stability the Lyapunov-Krasovskii functional is used.

引用

页码：3561 / 3566

页数：6

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