Title :
A generalized Petri net state equation
Author :
Chamas, N. ; Singh, Harpreet
Author_Institution :
Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA
Abstract :
T. Murata´s (see IEEE Trans. Autom. Control, vol.AC-22, no.3, p.202-6, June 1977) 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 :
Petri nets; difference equations; multiprocessing systems; performance evaluation; calculus; continuous time systems; finite difference approximation; generalized Petri net state equation; nonnegative real numbers; random time; state equation; stochastic differential equation; Automata; Calculus; Continuous time systems; Delay effects; Difference equations; Differential equations; Finite difference methods; Fires; Petri nets; Stochastic processes;
Conference_Titel :
Circuits and Systems, 1989., Proceedings of the 32nd Midwest Symposium on
Conference_Location :
Champaign, IL
DOI :
10.1109/MWSCAS.1989.101819
