On the factorization of rational matrices
Dante C. Youla · IEEE Transactions on Information Theory · 1961
Many problems in electrical engineering, such as the synthesis of linear n ports and the detection and filtration of multivariable systems corrupted by stationary additive noise, depend for their successful solution upon the factorization of a matrix-valued function of a complex variablep. This paper presents several algorithms for affecting such decompositions for the class of rational matricesG(p), i.e., matrices whose entries are ratios of polynomials inp. The methods employed are elementary in nature and center around the Smith canonic form of a polynomial matrix. Several nontrivial examples are worked out in detail to illustrate the theory.