摘要:AbstractThis work deals with the study ofequilibrium markings(states) in a class of Timed Continuous Petri Nets(TCPNs)under infinite server semantics. First, by adopting a structural approach, a qualitative analysis of the equilibrium sets in Choice-Free (CF)TCPNsystems is presented. It is based on the analysis of theslowest conservative subsystemsof the system. This allows us to define a structural component named theMaximal Limiting Subnet(MLS). Then, some properties of the equilibrium sets inCF-TCPNsystems are stated in terms of its MLS. Next,connectivityof the equilibrium sets, an important property for theglobal controllabilityof the system, is studied. It is shown thatCF-TCPNsystems always exhibit this property. Finally, the previous results are extended to Topologically Equal ConflictTCPNsystems. However, it is also shown that connectivity is not necessarily fulfilled in general systems.
关键词:Keywordstimed continuous Petri netsequilibrium pointscontinuous piecewise-linear systemshybrid systems