ELA, Volume 11, pp. 88-102, April 2004, abstract.

Reachability Indices of Positive Linear Systems

Rafael Bru, Carmen Coll, Sergio Romero, and Elena Sanchez

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 canonical 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.