ASYMPTOTIC REACHABLE SETS FOR DISCRETE-TIME POSITIVE LINEAR SYSTEMS

摘要

Reachable sets of discrete-time positive linear systems with no additional constraints imposed on controls are polyhedral cones for any finite t but the asymptotic reachable set may not be polyhedral. In this paper asymptotic reachable properties of such sets are studied and characterisations of polyhedralityon-polyhedrality of the asymptotic reachable set are developed.