Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
756440 | Systems & Control Letters | 2012 | 7 Pages |
Abstract
In the algebraic system theory of delay systems, it is well known that under spectral controllability or canonicity, a Bezout equation set up with a coprime pair of 2-D polynomial matrices has a solution in polynomial matrices with coefficient belonging to a ring of entire functions. We propose a new method for solving such Bezout equations. The basic concept involves the reduction of a Bezout equation over 2-D polynomial matrices to a simple scalar equation over 1-D polynomials. Due to the basic concept, it can be used to calculate a solution even by hand and is particularly efficient in the absence of modern computer algebra systems.
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Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Nobuko Kosugi, Koichi Suyama,