Title :
A state-space algorithm for the spectral factorization
Author :
Kraffer, F. ; Kwakernaak, H.
Author_Institution :
Dept. of Appl. Math., Twente Univ., Enschede, Netherlands
Abstract :
This paper presents an algorithm for the spectral factorization of a para-Hermitian polynomial matrix. The algorithm is based on polynomial matrix to state space and vice versa conversions, and avoids elementary polynomial operations in computations; It relies on well-proven methods of numerical linear algebra such as Schur decompositions
Keywords :
Hermitian matrices; matrix decomposition; numerical analysis; polynomial matrices; state-space methods; Schur decompositions; numerical linear algebra; para-Hermitian polynomial matrix; spectral factorization; state space; state-space algorithm; Control systems; Equations; Linear algebra; Linear systems; Mathematics; Matrix converters; Matrix decomposition; Polynomials; State-space methods; Symmetric matrices;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649785
