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  • 标题:On the Equilibrium Sets of Topologically Equal Conflict Timed Continuous Petri Nets ⁎
  • 本地全文:下载
  • 作者:César Arzola ; Antonio Ramírez-Treviño ; Manuel Silva
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:4
  • 页码:363-370
  • DOI:10.1016/j.ifacol.2021.04.072
  • 语种:English
  • 出版社:Elsevier
  • 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
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