Part(Ⅰ) of this work is on the theory of minimal polynomial matrix and Part(Ⅱ) is on the applications of this theory to linear multivariable systems.In I of this part, using the theory in Part(Ⅰ), some results about input part of a linear multivariable system are discussed in detail and in Ⅱ, using duality properties, the concepts about row n.p.m.and row generating system, etc. are given, and some results about output part of linear multivariable system are discussed, too. In Ⅲ, we discuss the approach which can give the polynomial model with less dimension from the state-space modeland in Ⅳ we discuss tha inverse of the problem to give the state-space model from the polynomial model. Some interesting examples are given to explain the theory and the approach.
Wonham.W.M.Linear.Multivariable Control A Geometric Approach,Springer-Verlag N.K.(1979)
[5]
Rosenblock.H.H.State-Space and Multivatiable Theory.Nelson.London.U.K.(1970).
[6]
许可康、韩京清,线性时不变系统两种描述的等价性,系统科学与数学,3.3(1983).
[7]
Hwang ling.Generating element and controllability.Proceeding of the Bilateral Meeting on Control.Systems(P.R.C.and U.S.A)Scientific Press,Beijing(1981).