Approximating Reachable Sets by Extrapolation Methods

Title data

Baier, Robert ; Lempio, Frank:
Approximating Reachable Sets by Extrapolation Methods.
In: Laurent, Pierre-Jean ; Le Méhauteé, Alain ; Schumaker, Larry L. (ed.): Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. - Wellesley, Mass. : Peters , 1994 . - pp. 9-18
ISBN 1-56881-039-3

Related URLs

Abstract in another language

Order of convergence results with respect to Hausdorff distance are summarized for the numerical approximation of Aumann's integral by an extrapolation method which is the set-valued analogue of Romberg's method. This method is applied to the discrete approximation of reachable sets of linear differential inclusions. For a broad class of linear control problems, it yields at least second order of convergence, for problems with additional implicit smoothness properties even higher orders of convergence.