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On the Reachability Index of Positive 2-D Systems

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4 Author(s)
E. Bailo ; Dept. de Matematica, Univ. de Lleida ; R. Bru ; J. Gelonch ; S. Romero

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

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IEEE Transactions on Circuits and Systems II: Express Briefs  (Volume:53 ,  Issue: 10 )