Convergence of the forward euler method for nonconvex differential inclusions

• 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.

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

differential inclusion

forward Euler

convergence order

convexification

Applied mathematics

Tillämpad matematik

Publication and Content Type

ref (subject category)

art (subject category)