https://pure.iiasa.ac.at/id/eprint/13647 2021-08-27T17:27:35Z info:eu-repo/semantics/descriptiveMetadata https://pure.iiasa.ac.at/id/eprint/13647/ Controllability of Convex Processes Aubin, J.-P. Frankowska, H. Olech, C. 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. 1986-11 Article PeerReviewed 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>. 10.1137/0324072 10.1137/0324072 10.1137/0324072 info:eu-repo/semantics/humanStartPage