ON THE COMPACTNESS OF THE ATTAINABLE SETS OF CONTROL SYSTEMS WITH p-INTEGRABLE CONTROLS

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Akyar E.

MISKOLC MATHEMATICAL NOTES, vol.9, no.1, pp.17-24, 2008 (SCI-Expanded) identifier

  • 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
  • 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).