%0 Journal Article %A CHEN Zeng-qiang %A HAN Xiao-guang %A LIU Zhong-xin %A ZHANG Kui-ze %A ZHANG Qing %T STP-Based Approach to Modeling and Reachability Analysis of a Class of Petri Net Systems %D 2016 %R 10.13190/j.jbupt.2016.06.014 %J Journal of Beijing University of Posts and Telecommunications %P 72-76 %V 39 %N 6 %X Modeling and reachability of a class of Petri net systems (PNSs) by using the semi-tensor product of matrices (STP) was investigated. First, the dynamics of PNSs, by resorting to STP, are converted into a discrete-time bilinear equation. Second, the transition-state adjacency matrix of the PNSs is defined, several necessary and sufficient conditions are obtained for the reachability of the PNSs by means of this bilinear equation and transition-state adjacency matrix. A new algorithm is also designed to find all of the firing sequences of any two reachable states. Finally, an example is presented to illustrate the theoretical results. %U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2016.06.014