小时滞中立型线性大系统的稳定性

<正> 对于时滞微分方程大系统的稳定性已有许多讨论。但对于中立型微分方程大系统的稳定性讨论的还很少。(迄今笔者还未见到)。本文考虑了中立型线性系统。

THE STABILITY OF LIN EAR N EUTRAL TYRE LARGE—SCALE SYST EMS

In this paper we discuss the Laxge—Scale system of neutral type of di-fferential equation(t)=Ax(t)+Bx(t-Δ)+C(t-Δ)①Firat,we decompose the egual eguation(t)=(E-C)~(-1) (A+B)x(t)+(E-C)~(-1)Bx(t-Δ)-x(t)]+(E-C)~(-1)C(f-Δ)-(t)]②and have obtained the theorems 1 and 2.Second,we decompose the eguation ①directly,and have obtained the theo-rems 3,4 and 5.