(C, A)-invariance of modules over principal ideal domains

Authors
Ito, N Schmale, W Wimmer, HK
Citation
N. Ito et al., (C, A)-invariance of modules over principal ideal domains, SIAM J CON, 38(6), 2000, pp. 1859-1873
Citations number
28
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
38
Issue
6
Year of publication
2000
Pages
1859 - 1873
Database
ISI
SICI code
0363-0129(20000804)38:6<1859:(AOMOP>2.0.ZU;2-O
Abstract
For discrete-time linear systems over a principal ideal domain, three types of (C, A)-invariance can be distinguished. Connections between these notio ns are investigated. For pure submodules, necessary and sufficient conditio ns for dynamic (C, A)-injection invariance are given. Sufficient conditions are obtained in the general case.