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## Discrete event representation of qualitative models using Petri nets.

Fanni, A.;
Giua, A.
In:
*IEEE Trans. on Systems, Man, and Cybernetics - Part B, Vol. 28, No. 6*, pages 770-780.
1998.

Abstract:
The paper discusses how Petri nets may be used for the qualitative
modeling of physical systems. The qualitative state of a system is
represented by the marking of the net. The crossing of a landmark value
corresponds to the firing of a transition. The paper gives a formal
procedure to construct a Petri net model corresponding to a given set of
qualitative equations. The approach can be used to study both autonomous
systems and systems with forcing inputs. The dynamic behavior of the
system can be studied as sequences of reachable markings of the net and
can be computed with standard Petri net execution techniques. This
approach also leads to a simple framework for the study of hybrid systems,
i.e., systems whose behavior is described by both continuous and discrete
event, i.e., systems whose behavior is described by both continuous and
discrete event dynamics. Several examples, with applications to diagnostic
and control, are fully discussed.

Keywords:
Petri nets, discrete-event systems, hybrid systems, qualitative modeling.

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