Reachability indices of positive linear systems

Abstract

It is well known that positive linear systems have differences in the concepts and characterizations of the structural properties of reachability and controllability. In this paper, the reachability indices of a positive system are defined and consequently they are studied. For that, a canonical form of the reachability indices is given by positive similarity. From that conoical form, it is established that the reachability indices are invariant by positive similarity. At the end, a complete sequence of invariants of a canonical reachability system is given.