A transformation of state-space model to Jordan continued fraction expansion canonical form

An algorithm is presented for computing the partial quotients of the Jordan type continued fraction expansion (CFE) of the corresponding transfer function of a linear time-invariant system from its time-moments of the impulse response. Explicit formulas for constructing the transformation matrix whi...

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Bibliographic Details
Published in:Journal of the Chinese Institute of Engineers 1984-10, Vol.7 (4), p.291-294
Main Authors: Hwang, Chyi, Shih, Yen-Ping
Format: Article
Language:English
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Summary:An algorithm is presented for computing the partial quotients of the Jordan type continued fraction expansion (CFE) of the corresponding transfer function of a linear time-invariant system from its time-moments of the impulse response. Explicit formulas for constructing the transformation matrix which transforms a general state-space model to the Jordan CFE canonical form are derived. The results are given in a recursive form.
ISSN:0253-3839
2158-7299
DOI:10.1080/02533839.1984.9676795