**Authors: ** D C Youla**Published in: **IEEE Transactions On Information Theory

**Year: **1961

**DOI: **10.1109/TIT.1961.1057636

**Citations: **253

**EI: ** NO

**Abstract: **

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 variable this paper presents several algorithms for affecting such decompositions for the class of rational matrices , i e , matrices whose entries are ratios of polynomials in 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

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