广义系统在输出反馈下的脉冲行为

Elimination of Impulsive Modes by Output Feedback in

基于作者在文［１４］中给出的脉冲观控性子空间，建立了如下数学关系式：ｍａｘｄｅｇｓＥ—Ａ＋ＢＫＣ＝ｄｉｍ（ＲＩＣ）－ｄｉｍ（ＲＲ）十ｒ作为上述公式的一个直接推论，得到以下结论：广义系统在输出反馈下可以消出Ｐ个脉冲模式的充要条件是，系统存在Ｐ个线性独立的能控能观的脉冲模式．

In this paper,a Problem of eliminating the impulsive modes by output feedback in descriptor Systems is considered. First, we redefine the impulsive controllable subspace Ric,unobservable subspace RIb of the descriptor systems from a new point of view. Secondly, on the basis of these subspaces defined above, an interesting and meaningful mathematical identity is established as follows:dim(RIC)-dim (R R)+r=max deg det (sE-A+BKC).()As a corollary of(),a siSnificant conclusion,i.e.,there exist p linearly independent impulsive modes which can be eliminated by an output feedback law if and only if the SyStem possesses p linearly independent impulsive modes which are controllable and observable.It is alsO shown that the equality()holds for almost any gain K.