1. On the reachability index of positive 2-D systems
- Author
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Bailo, Esteban, Bru, Rafael, Gelonch, Josep, and Romero, Sergio
- Subjects
Circuit design -- Research ,Circuit designer ,Integrated circuit design ,Business ,Computers and office automation industries ,Electronics ,Electronics and electrical industries - Abstract
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-D systems is characterized, and an upper bound for this index is derived. A comparison with previous results is also presented. Index Terms--Hurwitz products, influence digraph, local reachability index, nonnegative matrices, positive two-dimensional (2-D) systems, reachability.
- Published
- 2006