ESTIMATES FOR SOLUTIONS TO A CLASS OF 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 | 2015年
基金：
俄罗斯基础研究基金会;
关键词：
Time-delay systems; neutral type; exponential stability; Lyapunov-Krasovskii functional; DIFFERENTIAL-EQUATIONS; STABILITY;
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 nonlinear time-delay systems of neutral type with constant coefficients in the linear terms, d/dt (y(t) Dy(t - T)) = Ay(t) + By(t - T) F (t, y(t), y(t - T)). We obtain estimates characterizing the exponential decay of solutions at infinity, and dependending on the norms of the powers of D.
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页数：14
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