PERTURBATION BOUNDS FOR ORTHOGONAL CANONICAL-FORMS AND NUMERICAL CONTROLLABILITY ANALYSIS

Authors
PETKOV PH
Citation
Ph. Petkov, PERTURBATION BOUNDS FOR ORTHOGONAL CANONICAL-FORMS AND NUMERICAL CONTROLLABILITY ANALYSIS, IEEE transactions on automatic control, 38(4), 1993, pp. 639-643
Citations number
9
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Applications & Cybernetics","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
38
Issue
4
Year of publication
1993
Pages
639 - 643
Database
ISI
SICI code
0018-9286(1993)38:4<639:PBFOCA>2.0.ZU;2-#
Abstract
A first-order perturbation analysis of the orthogonal canonical forms of linear multivariable systems is presented. To avoid ill posedness, a numerical system structure is defined which is invariant to small pe rturbations in the data. It is shown that the orthogonal canonical for ms may be unreliable tools for numerical controllability analysis, sim ilarly to the system controllability matrix.