Faculty of Mathematics
Collaborative Research Centre 701
Spectral Structures and Topological Methods in Mathematics
stripes SFB701

Monday, July 17, 2017 - 16:15 in V5-148

Applications of the solvability theorem for relaxed one-sided Lipschitz inclusions

A talk in the 'Oberseminar Numerik' series by
Janosch Rieger from Monash University, Melbourne
Abstract: The solvability theorem guarantees the existence of a solution of a relaxed one-sided Lipschitz algebraic inclusion within a certain ball. This localisation can be used to characterise the boundary of the reachable set of a control system and, as a consequence, omit many redundant operations for its numerical approximation. It also induces a numerical scheme for the solution of the algebraic inclusion, provided the right-hand side is Lipschitz as well.