A GEOMETRIC APPROACH TO CONVEX PROCESSES: FROM REACHABILITY TO STABILIZABILITY.

This paper studies system theoretic properties of the class of difference inclusions of convex processes. We will develop a framework considering eigenvalues and eigenvectors, weakly and strongly invariant cones, and a decomposition of convex processes. This framework will lead to characterizations of reachability, stabilizability, and (null-)controllability for nonstrict convex processes in terms of spectral properties. These characterizations generalize all previously known results regarding, for instance, linear processes and specific classes of nonstrict convex processes. [ABSTRACT FROM AUTHOR]