Heavy Viable Trajectories of Controlled Systems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2534 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2534 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2534 archive 351 disk0/00/00/24/90 2016-01-15 01:54:58 2021-08-27 17:11:59 2016-01-15 01:54:58 monograph show 3 Aubin J.-P. 7347 Frankowska H. AL0659 Heavy Viable Trajectories of Controlled Systems pub iis_met iis_sys prog_dyn We define and study the concept of heavy viable trajectories of a controlled system with feedbacks. Viable trajectories are trajectories satisfying at each instant given constraints on the state. The controls regulating viable trajectories evolve according a set-valued feedback map. Heavy viable trajectories are the ones which are associated to the controls in the feedback map whose velocity has at each instant the minimal norm. We construct the differential equation governing the evolution of the controls associated to heavy viable trajectories and we prove their existence. 1984-04 published WP-84-028 WP-84-028 1134 1884 public working_paper IIASA, Laxenburg, Austria 32 FALSE info:eu-repo/semantics/book