TY  - GEN
TI  - Epi-Lipschitzian reachable sets of differential inclusions
A1  - Lorenz, Thomas
N2  - The reachable sets of a differential inclusion have nonsmooth topological boundaries in general. The main result of this paper is that under the well-known assumptions of Filippov's existence theorem (about differential inclusions), every epi-Lipschitzian initial compact set (of the Euclidean space) preserves this regularity for a (possibly short) time, i.e. its reachable set is also epi-Lipschitzian for all small times. The proof is based on Rockafellar's geometric characterization of epi-Lipschitzian sets and uses a new result about the "inner semicontinuity" of Clarke tangent cone (to reachable sets) with respect to both time and base point.
Y1  - 2007///
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/7351/
KW  - Differential inclusion 
KW  -  reachable set (alias attainable set) 
KW  -  epi-Lipschitzian sets 
KW  -  Clarke tangent cone
AV  - public
ID  - heidok7351
ER  -