On differential inclusions with prescribed attainable sets

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Guseinov K., Ozer O., Duzce S.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.277, no.2, pp.701-713, 2003 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 277 Issue: 2
• Publication Date: 2003
• Doi Number: 10.1016/s0022-247x(02)00621-2
• Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.701-713
• Keywords: differential inclusion, set valued map, attainable set
• Anadolu University Affiliated: No

Abstract

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.