%0 Journal Article
%@ 0363-0129
%A Aubin, J.-P.
%A Frankowska, H.
%A Olech, C.
%D 1986
%F iiasa:13647
%J SIAM Journal on Control and Optimization
%N 6
%P 1192-1211
%R 10.1137/0324072
%T Controllability of Convex Processes
%U https://pure.iiasa.ac.at/id/eprint/13647/
%V 24
%X 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.