relation: https://pure.iiasa.ac.at/id/eprint/13647/
title: Controllability of Convex Processes
creator: Aubin, J.-P.
creator: Frankowska, H.
creator: Olech, C.
description: 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 controllability is equivalent to observability of the adjoint inclusion.
date: 1986-11
type: Article
type: PeerReviewed
identifier:   Aubin, J.-P. <https://pure.iiasa.ac.at/view/iiasa/1134.html>, Frankowska, H., & Olech, C.  (1986).  Controllability of Convex Processes.   SIAM Journal on Control and Optimization 24 (6) 1192-1211. 10.1137/0324072 <https://doi.org/10.1137/0324072>.       
relation: 10.1137/0324072
identifier: 10.1137/0324072
doi: 10.1137/0324072