Algebraic approach to continuous event graphs without input
Zhang Duan, Dai Hua-ping · Journal of Zhejiang University(Engineering Science) · 2006
A set of min-plus linear algebraic equations with the cumulated mark consumed by transitions as state-variables was deduced to describe the change of a class of continuous Petri nets without input,called continuous event graphs(CEGs).And the explicit solution of the equations was given.Since CEGs are the limiting cases of timed event graphs,the equations can not only approximately model the discrete events,but also describe the continuous processes.A practical method for CEGs with input is used to convert them into a CEG without input via feedback.Finally,a simple example was given to illustrate the feedback control of CEGs with input.