On solution of boundary value problem for differential inclusion

Abstract

In the article an inverse problem for differential inclusion is considered. For a given compact set M-* subset of R-n it is required to define the maximal set M-0 subset of R-n so that the reachable set of differential inclusion with initial set (t(0), M-0) would be contained in the given set M-* at the time moment theta. The approximation method for construction of the set M-0 is proposed which is step by step backward procedure. Copyright (C) 2000 IFAC.