The solvability conditions for the LQ inverse problem of the multi-variable linear time-invariant system are studied with the polynomial matrix approach.

• 研究了多变量线性定常系统LQ逆问题的可解性条件，得到了一般情形下的LQ逆问题解的充要条件，据此分类、分层次地给出了LQ逆问题解集的代数刻划。