On external spectral factors and geometric control

A. Gombani; P. A. Fuhrmann

On external spectral factors and geometric control

Research output: Contribution to journal › Conference article › peer-review

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 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 language	English
Pages (from-to)	2735-2740
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	3
State	Published - 1 Dec 1995
Externally published	Yes
Event	Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA Duration: 13 Dec 1995 → 15 Dec 1995

ASJC Scopus subject areas

Control and Systems Engineering
Modeling and Simulation
Control and Optimization

Cite this

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AB - 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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M3 - Conference article

AN - SCOPUS:0029507899

SN - 0191-2216

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SP - 2735

EP - 2740

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)

Y2 - 13 December 1995 through 15 December 1995

ER -

On external spectral factors and geometric control

Abstract

ASJC Scopus subject areas

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