On differential inclusions with prescribed attainable sets
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, vol.277, no.2, pp.701-713, 2003 (SCI-Expanded, Scopus)
- 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.