On external spectral factors and geometric control

A. Gombani, P. A. Fuhrmann

Research output: Contribution to journalConference articlepeer-review


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.

Original languageEnglish
Pages (from-to)2735-2740
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1 Dec 1995
Externally publishedYes
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: 13 Dec 199515 Dec 1995

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization


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