%A J.-P. Aubin
%A H. Frankowska
%A C. Olech
%J SIAM Journal on Control and Optimization
%T Controllability of Convex Processes
%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.
%N 6
%P 1192-1211
%V 24
%D 1986
%R 10.1137/0324072
%L iiasa13647