Characterization of all controlled invariant subspaces for spectral systems

Hans Zwart

doi:10.1137/0326021

Characterization of all controlled invariant subspaces for spectral systems

Hans Zwart^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

Abstract

For a class of spectral systems a complete characterization of all controlled invariant subspaces contained in a closed subspace will be given. This characterization is given in terms of the invariant zeros of the transfer function. As a consequence of this we derive necessary and sufficient conditions for the existence of V*(Ker C), the largest controlled invariant subspace in the kernel of C.

Original language	English
Pages (from-to)	369-386
Number of pages	18
Journal	SIAM journal on control and optimization
Volume	26
Issue number	2
DOIs	https://doi.org/10.1137/0326021
Publication status	Published - 1 Jan 1988
Externally published	Yes

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AB - For a class of spectral systems a complete characterization of all controlled invariant subspaces contained in a closed subspace will be given. This characterization is given in terms of the invariant zeros of the transfer function. As a consequence of this we derive necessary and sufficient conditions for the existence of V*(Ker C), the largest controlled invariant subspace in the kernel of C.

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