ON THE COMPACTNESS OF THE ATTAINABLE SETS OF CONTROL SYSTEMS WITH p-INTEGRABLE CONTROLS
MISKOLC MATHEMATICAL NOTES, vol.9, no.1, pp.17-24, 2008 (SCI-Expanded)
- Publication Type: Article / Article
- Volume: 9 Issue: 1
- Publication Date: 2008
- Doi Number: 10.18514/mmn.2008.174
- Journal Name: MISKOLC MATHEMATICAL NOTES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
- Page Numbers: pp.17-24
- Keywords: control system, integral constraint, attainable set, REACHABLE SETS, CONTINUITY
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
Abstract
Quasi-linear systems governed by p-integrable controls, for 1 < p < infinity with the constraint parallel to u parallel to(p) <= mu(0) are studied. It is proved that the attainable sets of the system at the instant of time t are compact subsets of R(n).