REACHABILITY SETS OF HYBRID SYSTEMS IN THE PRESENCE OF SUCCESSIVE SWITCHINGS
The notion of reachability domains of hybrid systems is described, together with the use of ellipsoidal methods for their calculation in the case in which there are successive switchings on several given hyperplanes or bands. An algorithm of the reachability set calculation for a hybrid system using ellipsoidal approximations is given for the cases in which the switching sets are planes or bands. The parametrization of nonconvex reachability domains is obtained as an union of intersections of the corresponding ellipsoidal estimates.