@article{iiasa13647, volume = {24}, number = {6}, month = {November}, title = {Controllability of Convex Processes}, journal = {SIAM Journal on Control and Optimization}, doi = {10.1137/0324072}, pages = {1192--1211}, year = {1986}, url = {https://pure.iiasa.ac.at/id/eprint/13647/}, issn = {0363-0129}, abstract = {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.}, author = {Aubin, J.-P. and Frankowska, H. and Olech, C.} }