Additional Results on the Reachability Index of Positive 2-D Systems.

The smallest number of steps that allow to reach all nonnegative local states of a positive 2-D system is the local reachability index of such a system. The study of the local reachability index is still an open problem. Hence, using digraph theory, additional results on the local reachability index of a special class of systems, which are a generalization of the systems presented in [1] and [3], are given. Finally, upper bounds for the local reachability index are also found. [ABSTRACT FROM AUTHOR]