Controllability completion problems of partial upper triangular matrices

Authors
Jordan, C Torregrosa, JR Urbano, A
Citation
C. Jordan et al., Controllability completion problems of partial upper triangular matrices, LINEAR MULT, 47(1), 2000, pp. 57-75
Citations number
4
Categorie Soggetti
Mathematics
Journal title
LINEAR & MULTILINEAR ALGEBRA
ISSN journal
03081087 → ACNP
Volume
47
Issue
1
Year of publication
2000
Pages
57 - 75
Database
ISI
SICI code
0308-1087(2000)47:1<57:CCPOPU>2.0.ZU;2-2
Abstract
The main result of this paper states sufficient conditions for the existenc e of a completion A(c) of an n x n partial upper triangular matrix A, such that the pair (A(c), B) has prescribed controllability indices, being B an n x m matrix. If A is a partial Hessenberg matrix some conditions may be dr opped. An algorithm that obtains a completion A(c) of A such that pair (A(c ), e(k)) is completely controllable, where ek is a unit vector, is used to proof the results.