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• W2042555365 abstract "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 controlled invariant subspaces can be obtained as images of orthogonal projections of co-invariant subspaces onto a semi-invariant (Markovian) subspace of the Hardy space of square integrable functions analytic in the right half-plane. Output nulling subspaces are then related to a particular spectral factorization problem. A similar construction is presented for controllability subspaces, and a new algorithm for the computation of these subspaces is presented." @default.
• W2042555365 created "2016-06-24" @default.
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• W2042555365 date "2002-01-01" @default.
• W2042555365 modified "2023-09-24" @default.
• W2042555365 title "On a connection between spectral factorization and geometric control theory" @default.
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• W2042555365 doi "https://doi.org/10.1080/00207170210139511" @default.
• W2042555365 hasPublicationYear "2002" @default.
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