Contingent Cones to Reachable Sets of Control Systems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3234 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3234 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3234 archive 351 disk0/00/00/31/88 2016-01-15 01:59:11 2021-08-27 17:13:23 2016-01-15 01:59:11 monograph show 2 Frankowska H. AL0659 Contingent Cones to Reachable Sets of Control Systems pub iis_met prog_sds The author studies high order necessary conditions for optimality for an optimal control problem via properties of contingent cones to reachable sets along the optimal trajectory. It is shown that the adjoint vector of Pontryagin's maximum principle is normal to the set of variations of reachable sets. Results are applied to study optimal control problems for dynamical systems described by: (1) Closed loop control systems; (2) Nonlinear implicit systems; (3) Differential inclusions; (4) Control systems with jumps. 1988-02 published WP-88-017 WP-88-017 10 1884 public working_paper IIASA, Laxenburg, Austria 49 FALSE info:eu-repo/semantics/book