Title :
J-spectral factorization
Author :
Sebek, M. ; Kwakernaak, H.
Author_Institution :
Twente Univ., Enschede, Netherlands
Abstract :
The problem of J-spectral factorization of polynomial matrices is studied. Existence and uniqueness are discussed, and the differences from the standard case are pointed out. Two first algorithms are proposed for a numerical solution. The first algorithm, which is based on the generalized symmetric factor extraction, features simplicity and is easy to implement via MATLAB. The second algorithm, which is based on diagonalization, applies to a more general class of matrices (including those with zeros on the imaginary axis)
Keywords :
matrix algebra; numerical analysis; polynomials; spectral analysis; J-spectral factorization; MATLAB; diagonalization; numerical solution; polynomial matrices; symmetric factor extraction; zeros; Automation; Control theory; Feature extraction; Information theory; Iterative methods; MATLAB; Mathematics; Mechatronics; Newton method; Polynomials; Riccati equations; Symmetric matrices;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261591
