On differential inclusions with prescribed attainable sets

Guseinov K., Ozer O., Duzce S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.277, sa.2, ss.701-713, 2003 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 277 Sayı: 2
  • Basım Tarihi: 2003
  • Doi Numarası: 10.1016/s0022-247x(02)00621-2
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.701-713
  • Anahtar Kelimeler: differential inclusion, set valued map, attainable set
  • Anadolu Üniversitesi Adresli: Hayır

Özet

In this article, the inverse problem of the differential inclusion theory is studied. For a given epsilon > 0 and a continuous set valued map t --> W(t), t is an element of [t(0), theta], where W(t) subset of R-n is compact and convex for every t E [t(0), theta], it is required to define differential inclusion so that the Hausdorff distance between the attainable set of the differential inclusion at the time moment t with initial set (to, W(to)) and W(t) would be less than c for every t is an element of [to, theta]. (C) 2003 Elsevier Science (USA). All rights reserved.