2001IEEE Transactions on Robotics and AutomationRequires access

Combining hybrid Petri nets and hybrid automata

Alexandre Sava, H. Alla

Open publisher page 27 citations

Abstract

Hybrid systems have received much attention and a number of different models have been proposed in order to establish a mathematical framework which is able to handle both continuous and discrete aspects. Our research is focused on two models: hybrid automata and hybrid Petri nets (hybrid PNs). First, we deal with studying the hybrid PN functioning. An algorithm is proposed for constructing the hybrid automaton associated with a given hybrid PN. Next, we present 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.

About this research paper

What this paper is about

Hybrid systems have received much attention and a number of different models have been proposed in order to establish a mathematical framework which is able to handle both continuous and discrete aspects. Our research is focused on two models: hybrid automata and hybrid Petri nets (hybrid PNs). First, we deal with studying the hybrid PN functioning. An algorithm is proposed for constructing the hybrid automaton associated with a given hybrid PN. Next, we present 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.

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OpenAlex reports 27 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Hybrid systems have received much attention and a number of different models have been proposed in order to establish a mathematical framework which is able to handle both continuous and discrete aspects. Our research is focused on two models: hybrid automata and hybrid Petri nets (hybrid PNs). First, we deal with studying the hybrid PN functioning. An algorithm is proposed for constructing the hybrid automaton associated with a given hybrid PN. Next, we present 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.

Key concepts: Hybrid system, Reachability, Petri net, Hybrid automaton, Automaton, Computer science, Stochastic Petri net, Theoretical computer science

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