On the Reachability Index of Positive 2-D Systems.

The structural property of local reachability for positive two-dimensional (2-D) systems refers to single local states. The smallest number of steps needed to reach all local states of a system is the local reachability index of the system. This index may exceed the system dimension. Some authors have studied upper bounds on the local reachability index for specific positive 2-D systems and have suggested different upper bounds for any positive 2-D system. In this brief. the local reachability index for a special class of positive 2-fl systems is characterized, and an upper hound for this index is derived. A comparison with previous results is also presented. [ABSTRACT FROM AUTHOR]