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Stable and norm-stable invariant subspaces

✍ Scribed by Borichev, Alexander; Hadwin, Don; Yousefi, Hassan

Book ID: 120454533
Publisher: Theta Foundation
Year: 2013
Tongue: English
Weight: 206 KB
Volume: 69
Category: Article
ISSN: 0379-4024
DOI: 10.7900/jot.2010jun01.1866

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Let (A, B) ∈ C n×n × C n×m and let M be an (A, B)-invariant subspace. In this paper the following results are presented: , under some additional hypotheses, necessary and sufficient conditions for the stability of M are given. (iii) If M contains the controllability subspace of the pair (A, B), suf