Convergence of the forward euler method for nonconvex differential inclusions
2008 (English)In: SIAM Journal on Numerical Analysis, ISSN 0036-1429, E-ISSN 1095-7170, Vol. 47, no 1, 308-320 p.Article in journal (Refereed) Published
The convergence of reachable sets for nonconvex differential inclusions is considered. When the right-hand side in the differential inclusion is a compact-valued, Lipschitz continuous set-valued function it is shown that the convergence in Hausdorff distance of reachable sets for a forward Euler discretization is linear in the time step.
Place, publisher, year, edition, pages
2008. Vol. 47, no 1, 308-320 p.
differential inclusion, forward Euler, convergence order, convexification
IdentifiersURN: urn:nbn:se:kth:diva-6032DOI: 10.1137/070686093ISI: 000263103800015OAI: oai:DiVA.org:kth-6032DiVA: diva2:10611
QC 201009172006-07-212006-07-212010-09-17Bibliographically approved