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  • 标题:Finite Bisimulations for Dynamical Systems with Overlapping Trajectories
  • 本地全文:下载
  • 作者:B{\'e}atrice B{\'e}rard ; Patricia Bouyer ; Vincent Jug{\'e
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2018
  • 卷号:119
  • 页码:1-17
  • DOI:10.4230/LIPIcs.CSL.2018.26
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Having a finite bisimulation is a good feature for a dynamical system, since it can lead to the decidability of the verification of reachability properties. We investigate a new class of o-minimal dynamical systems with very general flows, where the classical restrictions on trajectory intersections are partly lifted. We identify conditions, that we call Finite and Uniform Crossing: When Finite Crossing holds, the time-abstract bisimulation is computable and, under the stronger Uniform Crossing assumption, this bisimulation is finite and definable.
  • 关键词:Reachability properties; dynamical systems; o-minimal structures; intersecting trajectories; finite bisimulations
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