Nonlinear optimal control synthesis via occupation measures

Simple item page
dc.creatorHenrion, Didier
dc.creatorLasserre, Jean B.
dc.creatorSavorgnan, Carlo
dc.date2008-03-11
dc.date.accessioned2026-07-07T12:17:33Z
dc.date.available2026-07-07T12:17:33Z
dc.descriptionWe consider nonlinear optimal control problems (OCPs) for which all problem data are polynomial. In the first part of the paper, we review how occupation measures can be used to approximate pointwise the optimal value function of a given OCP, using a hierarchy of linear matrix inequality (LMI) relaxations. In the second part, we extend the methodology to approximate the optimal value function on a given set and we use such a function to constructively and computationally derive an almost optimal control law. Numerical examples show the effectiveness of the approach.
dc.identifierhttps://arxiv.org/abs/0803.1570
dc.identifierhttp://arxiv.org/abs/0803.1570
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212111
dc.subjectOptimization and Control
dc.titleNonlinear optimal control synthesis via occupation measures
dc.typetext

Files

Collections

arXiv