### On The Factorization Of Rational Matrices

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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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