ISSN:
1573-0824
Keywords:
Polynomial matrices
;
Bilateral equations
;
2-D systems
;
2-D polynomial
;
skew primeness
Source:
Springer Online Journal Archives 1860-2000
Topics:
Electrical Engineering, Measurement and Control Technology
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01937366
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