On the Construction of Differential Inclusion with Prescribed Integral Funnel

In this article, the inverse problem of the differential inclusion theory is considered. For a given ε > 0 and a given special type set valued map t → V(t), t ∈ [t*, t*], it is required to define differential inclusion such that the Hausdorff distance between the reachable sets of the differential inclusion with initial set (t* , V(t*)) and V(t) would be less than ε for every t ∈ [t*, t*].