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An Application of Independent, Increasing, Free-Choice Petri Nets to the Synthesis of Policies that Enforce Liveness in Arbitrary Petri Nets
Authors:RAMAVARAPU S. SREENIVAS
Affiliation:Coordinated Science Laboratory and Department of General Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
Abstract:The class of Independent, Increasing, Free-Choice Petri nets (II-FCPNs) was introduced in (Sreenivas, 1997c), where it is shown that any II-FCPN can be made live via supervision using a readily available policy. In a live Petri net (PN). Petri Net Theory and Modeling of systems. Prentice-Hall, Englewood Cliffs, NJ, Reisig (1985). Petri Nets. Springer, Berlin), it is possible to fire any transition from every reachable marking, although not necessarily immediately. In this paper we identify a class of PNs, where every transition is controllable, that are not necessarily II-FCPNs, that can be made live via supervision using a readily available policy constructed from the policy that enforces liveness in an II-FCPN.
Keywords:Petri nets   Set theory   Functions   Vectors   Mathematical models   Discrete event dynamic systems   Initial marking function
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