Stable subspaces of matrix pairs

✍ Scribed by Francisco E. Velasco

• Book ID: 104156726
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 241 KB
• Volume: 301
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00164-0

✦ Synopsis

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), sufficient conditions are given in terms of the Brunovsky r-numbers and the Weyr characteristic of the eigenvalues of a quotient endomorphism associated to the noncontrollable part of the subspace M.