NONMINIMAL FACTORIZATION OF NONLINEAR-SYSTEMS - THE OBSERVABLE CASE

Authors
BENARTZI A HELTON JW WOERDEMAN HJ
Citation
A. Benartzi et al., NONMINIMAL FACTORIZATION OF NONLINEAR-SYSTEMS - THE OBSERVABLE CASE, International Journal of Control, 63(6), 1996, pp. 1069-1104
Citations number
10
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control
Journal title
International Journal of Control → ACNP
ISSN journal
00207179
Volume
63
Issue
6
Year of publication
1996
Pages
1069 - 1104
Database
ISI
SICI code
0020-7179(1996)63:6<1069:NFON-T>2.0.ZU;2-S
Abstract
Minimal factorizations of nonlinear systems have been studied earlier. Here, nonminimal factorizations of nonlinear systems are studied for the case where the product contains no extra non-observable states ('o bservable factorizations'). A description for all such factorizations is given in terms of invariant foliations of the system and its invers e. The results are applied to the special cases of stable factorizatio ns (coprime).