On External Spectral Factors and Geometric Control
نویسندگان
چکیده
We investigate here how the geometric control theory of Basile, Marro and Wonham can be obtained in a Hilbert space context, as the byproduct 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 semiinvariant (markovian) subspace of the Hardy space of square integrable functions analytic in the right half plane.
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