OH 44 106-722 1 USA rnsb 1 1 .rxh2O,gxz7 6iiipo.cwru.edu T h i s paper clesci-ibc~ ;in approach to solving optimal hybrid control problems tising Icvcl set methods. Level set incthods are powcrfiil techniques for generating cquipotcnlial contours with applications in tlie realm of tluid iiicclianics. conipiiter vision, material science. iuhotics. and geometry. 'This paper specifically deals with the problcni of determining an optimal control path in a Iilhrid system by extending the "fast marching" method to ;I hybrid setting. We forinalize tlie hybrid problem. provide an algorithm to solve it. and give a constructive ptoot' o f tlic algorithm's correctness. We also solve two cwiiplcs in o u r hybrid setup and discuss uppcr-and 1 o~ er-hounds of numerical solutions.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.