線形時不変システムの縮退システムと最小次元逆システム

抄録

In this paper, the reduced systems whose controllability, stabilizability and right invertibility coincide with those of the original system are defined. A reduction algorithm for constructing the reduced systems and a new method for constructing a minimal order right inverse system by using the reduced systems are presented. Furthermore, a necessary and sufficient condition for the existence of a stable right inverse system is given, and it is shown that no state feedback compensation is possible for the original system if the compensated system is to have a stable right inverse system. Finally, it is shown that the reduction algorithm presented here is equivalent to transforming the original system into a standard form, and esveral structural properties of the system are clarified out of the standard form.