In this paper we tackle the decidability of marking reachability for a hybrid formalism based on Petri nets. The model we consider is the untimed version of First–Order Hybrid Petri Nets: it combines a discrete Petri net and a continuous Petri net, the latter being a fluid version of a usual discrete Petri net. It is suggested that the decidability results should be pursued exploiting a hierarc...

The paper describes the challenges of modelling hybrid embedded systems. It discusses the problems of modelling such systems and suggests the use of hybrid Petri nets. The potential of hybrid Petri nets is shown by modelling an exemplary embedded mechatronic system with a special hybrid Petri net class using a special modelling tool.

Since the ability to describe dynamic in high level, Petri Nets has already been used extensively in logic circuits and systems community for state analysis. As others formal methods, extending Petri Nets to analog circuits analysis requires continuous feature enhanced. In this paper, the object of study is dynamic of circuits with random nonlinear feature (such as random noise and random inter...

Coloured Petri nets are imperative for studying bigger biological models, particularly, those which expose repetition of components. Such models can be easily scaled by minor changes of a few parameters. Similarly, studying certain biological phenomena necessitates the existence of discrete and continuous variables as well as continuous and stochastic processes in one and the same model. Thus, ...

This paper deals with the modelling of batch systems by means of high-level Petri nets. Batch systems are systems that transform a continuous raw material through continuous equipment (as heat exchanger for example) and batch equipment (for instance, batch reactor). These systems are frequently used by chemical of food industry. Batch systems deal with concurrent activities and resource allocat...

In practice the systems are not only pure discrete event or pure continuous, but they are combined from discrete and continuous parts together. These systems are called hybrid systems. Hybrid Petri nets (HPNs) allow modeling and analysis of hybrid systems. Since classical HPNs cannot properly model the systems with the delays on continuous product flow, extended Hybrid Petri nets and generalize...

In this paper, timed Petri nets are used to model and control hybrid systems. Petri nets are used instead of finite automata primarily because of the advantages they offer in dealing with concurrency and complexity issues. A brief overview of existing results on hybrid systems that are based on Petri nets is first presented. A class of timed Petri nets named programmable timed Petri nets (PTPN)...

Petri nets (PNs) are widely used to model discrete event dynamic systems (computer systems, manufacturing systems, communication systems, etc). Continuous Petri nets (in which the markings are real numbers and the transition firings are continuous) were defined more recently; such a PN may model a continuous system or approximate a discrete system. A hybrid Petri net can be obtained if one part...

Petri net models are useful tools for the modelling of discrete event systems and hybrid systems. This paper is about the parameters estimation for two classes of timed PN: Ttimed Petri nets and continuous Petri nets with variable speeds. The parameters to be estimated are either incidence, either temporal parameters. Data based and model based methods are proposed. In each case, on line and of...