EXPONENTIAL STABILITY OF SOLUTIONS TO NONLINEAR TIME-DELAY SYSTEMS OF NEUTRAL TYPE

被引：0

作者：

Demidenko, Gennadii V. ^{[1
,2
]}

Matveeva, Inessa I. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Lab Differential & Difference Equat, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Dept Mech & Math, Novosibirsk 630090, Russia

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Time-delay systems; neutral equation; exponential stability; attraction sets; DIFFERENTIAL-EQUATIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a nonlinear time-delay system of neutral equations with constant coefficients in the linear terms d/dt (y(t) + Dy(t - tau)) = Ay(t) + By(t - tau) + F(t, y(t), y(t - tau)), where parallel to F(t, u, v)parallel to <= q(1)parallel to u parallel to(1+w1) + q(2)parallel to v parallel to(1+w2), q(1), q(2), w(1), w(2) > 0. We obtain estimates characterizing the exponential decay of solutions at infinity and estimates for attraction sets of the zero solution.

引用

页数：20

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