具有多重时滞的多变量反馈系统的稳定化

STABILIZATION OF MULTIVARIABLE FEEDBACK SYSTEMS WITH MULTIPLE TIME DELAYS

本文首先给出了一类多时滞线性时变系统与时滞无关稳定化的充要条件，然后将这一结果推广到此类系统的有界输入有界输出稳定化，在这两类稳定化方案中，选取状态反馈增益Ｋ不需要时滞关联结构的信息。最后，为了证明主要结果，给出了一个估计泛函微分方程所有解的新定理。

This paper first presents necessary and sufficient conditions for the stabilizability independent of delay (i.o.d.)of a class of linear time-varying systems with multiple delays. Then the result is extended to the bounded input bounded output(BIBO) stabilizability i. o. d. of the systems. In the both stabilization scheme,the choice of the state feedback gain K does not require information about the delay interconnected structure. Finally, to prove the main results,a new estimate theorem is given for all solutions of a functional differential equation.