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The state‐space realization of an n ‐dimensional transfer function
Author(s) -
Galkowski Krzysztof
Publication year - 1981
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/cta.4490090205
Subject(s) - realization (probability) , transfer function , minimal realization , state space , mathematics , state (computer science) , polynomial , space (punctuation) , function (biology) , transfer (computing) , transfer matrix , topology (electrical circuits) , discrete mathematics , pure mathematics , mathematical analysis , algorithm , computer science , combinatorics , linear system , engineering , statistics , electrical engineering , evolutionary biology , parallel computing , computer vision , biology , operating system
In this paper the non‐minimal real state‐space realization for n ‐dimensional transfer functions with polylinear numerators and denominators is stated and proved. It is also shown that the every existing realization of an n ‐dimensional transfer function can be achieved from the companion matrix of some ( n + 1)‐variable polynomial linear with respect to one of its variables.
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