Title :
A generalized Bezoutian matrix with respect to a polynomial sequence of interpolatory type
Author :
Yang, Zhenghong ; Hu, Yongjian
Author_Institution :
Dept. of Math., China Agric. Univ., Beijing, China
Abstract :
In this note, a generalized Bezoutian matrix with respect to a polynomial sequence of interpolatory type is introduced. The operator representation relative to a pair of dual bases and the generalized Barnett-type factorization formula are derived. An intertwining relation and a Bezoutian reduction to a block diagonal form by congruence via a generalized Vandermonde matrix are presented. Fujiwara-Hermite and Routh-Hurwitz criteria in terms of this generalized Bezout matrix are obtained.
Keywords :
control system analysis; interpolation; matrix algebra; polynomials; stability; Barnett factorization formula; Bezoutian matrix; Vandermonder matrix; interpolatory type; operator representation relative; polynomial sequence; Control theory; Equations; History; Mathematics; Output feedback; Polynomials; Stability criteria; Symmetric matrices; Barnett-type formula; Bezoutian; Fujiwara–Hermite and Routh–Hurwitz criteria; polynomial sequence of interpolatory type;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.835403
