Linear systems with prescribed similarity structural invariants

Citation
I. Baragana et al., Linear systems with prescribed similarity structural invariants, SIAM J CON, 38(4), 2000, pp. 1033-1049
Citations number
20
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
38
Issue
4
Year of publication
2000
Pages
1033 - 1049
Database
ISI
SICI code
0363-0129(20000524)38:4<1033:LSWPSS>2.0.ZU;2-F
Abstract
The problem of the existence of linear systems (x) over dot (t) = Ax (t) Bu (t) with prescribed structural invariants for system similarity is studi ed. Namely, we solve the problem of the existence of such a system with pre scribed controllability indices, Hermite indices, and invariant factors whe n the invariant factors of A (which are also invariants under system simila rity) are given.