Partial Differential Inclusions Governing Feedback Controls

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3470 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3470 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3470 archive 351 disk0/00/00/34/23 2016-01-15 02:00:41 2021-08-27 17:13:50 2016-01-15 02:00:41 monograph show 2 Aubin J.-P. 7347 Frankowska H. AL0659 Partial Differential Inclusions Governing Feedback Controls pub iis_met iis_sys prog_sds The authors derive partial differential inclusions of hyperbolic type, the solutions of which are feedbacks governing the viable (controlled invariant) solutions of a control system. They show that the tracking property, another important control problem, leads to such hyperbolic systems of partial differential inclusions. They begin by proving the existence of the largest solution of such a problem, a stability result and provide an explicit solution in the particular case of decomposable systems. They then state a variational principle and an existence theorem of a. (single-valued contingent) solution to such an inclusion, that they apply to assert the existence of a feedback control. 1990-07 published WP-90-028 WP-90-028 10 1134 1884 public working_paper IIASA, Laxenburg, Austria 46 FALSE info:eu-repo/semantics/book