Title :
Spectral factorization by symmetric extraction for semigroup state-space systems
Author :
Callier, Frank M. ; Winkin, Joseph J.
Author_Institution :
Dept. of Math., Univ. of Namur, Belgium
Abstract :
The spectral factorization problem of a scalar coercive spectral density is considered in the framework of the Callier-Desoer algebra of distributed parameter system transfer functions. Criteria for the convergence of the symmetric extraction method solving this problem are described and commented for semi-group Hilbert state-space systems with a Riesz-spectral generator.
Keywords :
convergence; distributed parameter systems; matrix decomposition; state-space methods; transfer functions; Callier Desoer algebra; Hilbert state space systems; Riesz spectral generator; convergence; distributed parameter system; scalar coercive spectral density; semigroup state-space systems; spectral factorization; symmetric extraction; symmetric extraction method; transfer functions; Algebra; Coercive force; Convergence; Distributed parameter systems; Feedback control; Mathematics; Optimal control; Performance analysis; System analysis and design; Transfer functions;
Conference_Titel :
Decision and Control, 2002, Proceedings of the 41st IEEE Conference on
Print_ISBN :
0-7803-7516-5
DOI :
10.1109/CDC.2002.1185101
