Reachability index of the positive 2D general models

摘要

It is shown that 2(n + 1)is the upper bound for the reachability index of the n-order positive 2D general models.In recent years a growing interest in positive two-dimensional(2D)systems has been observed[1-9].An overview of some recent results in positive systems has been given in the monographs[1,10]and papers[5-9]and on the controllability of ID and 2D systems in[11].The asymptotic behaviour of positive 2D systems and their internal stability have been investigated in[8,9].The local reachability of positive 2D systems described by the second Fornasini-Marchesini models[2-4]has been analyzed in[5].It was shown that the reachability index of the n-order positive 2D systems is not bounded by n.