Controllability of Convex Processes

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/2714 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/2714 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/2714 archive 351 disk0/00/00/26/59 2016-01-15 01:56:00 2021-08-27 17:12:22 2016-01-15 01:56:00 monograph show 3 Aubin J.-P. 7347 Frankowska H. AL0659 Olech C. Controllability of Convex Processes pub iis_met prog_sds The purpose of this paper is to provide several characterizations of controllability of differential inclusions whose right-hand sides are convex processes. Convex processes are the set-valued maps whose graphs are convex cones; they are the set-valued analogues of linear operators. Such differential inclusions include linear systems where the controls range over a convex cone (and not only a vector space). The characteristic properties are couched in terms of invariant cones by convex processes, or eigenvalues of convex processes, or a rank condition. We also show that the controllability is equivalent to the observability of the adjoint inclusion. 1985-07 published WP-85-041 WP-85-041 1134 1884 public working_paper IIASA, Laxenburg, Austria 44 FALSE info:eu-repo/semantics/book