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Digitale Medien

Bilateral polynomial matrix equations in two indeterminates (1990)

Xu, Li ; Saito, Osami ; Abe, Kenichi

Springer

Multidimensional systems and signal processing 1 (1990), S. 363-379

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ISSN: 1573-0824

Schlagwort(e): Polynomial matrices ; Bilateral equations ; 2-D systems ; 2-D polynomial ; skew primeness

Quelle: Springer Online Journal Archives 1860-2000

Thema: Elektrotechnik, Elektronik, Nachrichtentechnik

Notizen: Abstract Two special cases of the bilateral 2-D polynomial matrix equationDU +VN=C whenC=I andC=αI withα being a Ω-stable 2-D polynomial, which are related respectively to deadbeat and asymptotic control problems of 2-D systems, are first considered. By generalizing the concepts of factor coprimeness, zero coprimeness and zero skew primeness in the 2-D polynomial ring to the ring of causal Ω-stable 2-D rational functions, a constructive solution of these two problems mentioned is proposed. Based on these results, we derive a solvability condition for the bilateral equiation whereC is a general 2-D polynomial matrix. The general solutions are investigated as well.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01937366

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