Adjoint Differential Inclusions in Necessary Conditions for the Minimal Trajectories of Differential Inclusions

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2588 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2588 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2588 archive 351 disk0/00/00/25/40 2016-01-15 01:55:13 2021-08-27 17:12:08 2016-01-15 01:55:13 monograph show 2 Frankowska H. AL0659 Adjoint Differential Inclusions in Necessary Conditions for the Minimal Trajectories of Differential Inclusions pub iis_met prog_dyn This paper extends Pontryagin's maximum principle to differential inclusions and nonsmooth criterion functions, relying on a checkable "surjectivity property" of a "linearized set-valued system" around the optimal trajectory. As an example, Pontryagin's principle is obtained for optimal control problems with constraints on both the initial and the final states. The research described here was undertaken within the framework of the Dynamics of Macrosystems Feasibility Study in the System and Decision Sciences Program. 1984-08 published CP-84-037 CP-84-037 1884 public collaborative_paper IIASA, Laxenburg, Austria 37 FALSE info:eu-repo/semantics/book