| 内容提要: |
Polynomial matrix descriptions (PMDs) of linear system started to be developed by H.H. Rosenbrock in 1960s, which are an important method in the linear multivariable system theory and have established themselves as a relatively independent theoretical system. I find that there are still many basic theoretical issues unresolved on general polynomial matrices and described systems. Firstly，regularization and zero assignment of rectangular polynomial matrices. Develop a solving method about the pole assignment problem for polynomial matrix system. Secondly, regularizing polynomial matrices and determining their degrees. Thirdly, detecting in finite zeros and their multiplicity of polynomial matrices, developing a simple and effective algorithm to detect the algebraic multiplicity of infinite zeros of polynomial matrix. |