Some Characterizations of Optimal Trajectories in Control Theory

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3302 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3302 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3302 archive 351 disk0/00/00/32/61 2016-01-15 01:59:34 2021-08-27 17:13:33 2016-01-15 01:59:34 monograph show 2 Cannarsa P. Frankowska H. AL0659 Some Characterizations of Optimal Trajectories in Control Theory pub iis_met prog_sds The authors provide several characterizations of optimal trajectories for the classical Meyer problem arising in optimal control. For this purpose they study the regularity of directional derivatives of the value function: for instance it is shown that for smooth control systems the value function V is continuously differentiable along an optimal trajectory x. Then they deduce the upper semicontinuity of the optimal feedback map and address the problem of optimal design, obtaining sufficient conditions for optimality. Finally it is shown that the optimal control problem may be reduced to a viability problem. 1989-11 published WP-89-083 WP-89-083 10 1884 public working_paper IIASA, Laxenburg, Austria 36 FALSE info:eu-repo/semantics/book