Characterization of all controlled invariant subspaces for spectral systems

Hans Zwart*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

6 Citations (Scopus)


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 languageEnglish
Pages (from-to)369-386
Number of pages18
JournalSIAM journal on control and optimization
Issue number2
Publication statusPublished - 1 Jan 1988
Externally publishedYes


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