Advances on the Reachability Index of Positive 2-D Systems

作者：Bailo Esteban^*; Gelonch Josep; Romero Vivo Sergio

来源：IEEE Transactions on Automatic Control, 2014, 59(8): 2248-2251.

DOI：10.1109/TAC.2014.2303218

• Fornasini-Marchesini models
• Hurwitz products
• local reachability
• positive two dimensional (2-D) systems

The problem of obtaining an upper bound on the local reachability index I-LR for a positive 2-D system is still an unanswered question. Unfortunately, it is not clear what kind of mathematical instruments should be used to effectively tackle this problem. In this technical note, a tool is presented with the aim of facilitating the calculations of the reachability matrix and hence, the analysis of the local reachability property and of I-LR. Besides that, a new family of nth-order systems is constructed and, depending on the dimension n, an upper bound on I-LR of the corresponding systems is formulated.

• 出版日期2014-8