On the attainable set of differential inclusions and control systems
The reachable sets of a time-dependent differential inclusion defined on a separable Banach space X are considered and some properties of the minimum-time map are proved. Under suitable hypotheses results analogous to the ones true in the finite dimensional case are given. Moreover, if X is finite dimensional a bang-bang theorem and a characterization of the attainable sets by means of the minimum-time map are obtained for multivalued inclusions satisfying additional assumptions.
scientific article; zbMATH DE number 4036581
scientific article