Controllability, Bezoutian and relative primeness
Open Access
- 1 January 1980
- journal article
- research article
- Published by Wiley in International Journal of Mathematics and Mathematical Sciences
- Vol. 3 (1) , 185-188
- https://doi.org/10.1155/s0161171280000129
Abstract
Let f(x) and g(x) be two polynomials of degree n. Then it is well‐known that the Bezoutian matrix Bfg associated with f(x) and g(x) is nonsingular if and only if f(x) and g(x) are relatively prime. We give an alternative proof of this result. The proof is based on a result on controllability derived in this note.Keywords
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