LQ逆问题的可解性条件

On the Solvability Conditions of the LQ Inverse Problem

利用多项矩阵方法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及其代数描述．

The solvability conditions of the LQ inverse problem for the multivariable linear time invariant system is studied iwth the polynomial matrix method. The sufficient and necessary conditions for the solution of the general LQ inverse problem are presented and the algebraic characterization of the solution is obtained. All the solvability conditions of the LQ inverse problem found in the literature published are but special cases of the results of this paper.