滞后线性控制系统的输出能控性

本文对具有滞后的线性泛函微分方程所确定的滞后线性控制系统ｘ（ｔ）＝Ａ（ｔ）ｘ（ｔ）十Ｂ（ｔ）ｘ（ｔ－１）＋Ｃ（ｔ）ｕ（ｔ）ｔ∈（０，Ｔ］ｘ（ｔ）＝Φ（ｔ）ｔ∈［１，０］ｙ（ｔ）＝Ｄ（ｔ）ｘ（ｔ）＋Ｅ（ｔ）ｕ（ｔ）ｔ∈［－１，Ｔ］给出一些关于欧氏空间完全输出能控性的重要结论。并且对自治的滞后线性控制系统做了进一步研究，得到令人满意的充要条件；特别是通过与相应的常微分方程所确定的控制系统的输出能控性相比较，得到比较简明的判则。

THE OUTPUT CONTROLLABILITY OF LINEAR SISTEMS WITH DELAY

In this paper we will give some important results for the completely Euclidean space output controllability of the linear systems with delay determined by linear delay-differential equations:x(t)=A(t)x(t)+ B(t)x(t-1)+ C(t)u(t)t∈(0,T]x(t)=Φ(t)t∈-1,0]y(t) = D(t)x(t)+ E(t)u(t)t∈-1,T]Further more,we will study the automic linear systems with delay,and give some satisfying sutisfactory equivalant conditions.And specially,by comparing with the completely Euclidean space output controllability of the linear systems determined by ODE,get a simple and clear criterion.