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## A Generalized Petri Net State Equation.

Chamas, Nazih;
Singh, Harpreet
In:
*Proceedings of the 32nd Midwest Symposium on Circuits and Systems, 1989, Champaign, IL, USA*, pages 161-164.
Piscataway, NJ, USA: IEEE Service Center,
1990.

Abstract:
Murata's state equation for standard Petri nets is extended to other
continuous time systems. The crucial step in this development is to
consider conceptually the marking's entries of a Petri net to be
nonnegative real numbers rather than integers. This will allow the
introduction of calculus into the state equation, which is a differential
rather than linear equation. Murata's state equation is a finite
difference approximation to this equation. The proposed state equation
will be a stochastic differential equation if random time is associated
with each transition.

Keywords:
generalized state equation; stochastic differential equation.

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