Combining hybrid Petri nets and hybrid automata

Recently, hybrid systems have received much attention and a number of different models have been proposed in order to establish a mathematical framework able to handle both continuous and discrete aspects. Our research is focused on two models: hybrid automata and hybrid Petri nets (hybrid PNs). The first part of our contribution is concerned with studying the hybrid PN functioning. An algorithm is proposed for constructing the hybrid automaton associated with a given hybrid PN. The second part concerns the quantitative analysis of hybrid systems modeled by hybrid PN. The approach uses the reachability analysis of hybrid automaton to characterize the periodic functioning of a hybrid PN.