DocumentCode
294295
Title
On external spectral factors and geometric control
Author
Gombani, A. ; Fuhrmann, P.A.
Author_Institution
LADSEB, Padova, Italy
Volume
3
fYear
1995
fDate
13-15 Dec 1995
Firstpage
2735
Abstract
We investigate here how the geometric control theory of Basile-Marro and Wonham (1984) can be obtained in a Hilbert space context, as the by-product of the factorization of a spectral density with no zeros on the imaginary axis. We show how stabilizable and controllability subspaces can be obtained as images of orthogonal projections of coinvariant subspaces onto a semi-invariant (Markovian) subspace of the Hardy space of square integrable functions analytic in the right half plane
Keywords
Hilbert spaces; computational geometry; controllability; feedback; matrix decomposition; stability; Hardy space; Hilbert space; Markovian subspace; coinvariant subspaces; controllability; external spectral factors; factorization; geometric control; orthogonal projections; semi-invariant subspace; spectral density; stability; Control theory; Frequency; Geometry; Hilbert space; History; Image analysis; Mathematics; Riccati equations; State-space methods; Stochastic processes;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location
New Orleans, LA
ISSN
0191-2216
Print_ISBN
0-7803-2685-7
Type
conf
DOI
10.1109/CDC.1995.478529
Filename
478529
Link To Document