Title :
On external spectral factors and geometric control
Author :
Gombani, A. ; Fuhrmann, P.A.
Author_Institution :
LADSEB, Padova, Italy
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;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478529
