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Title
Japanese:状態空間上のポテンシャルとしての仮想時間の解釈 
English:Interpretation of Virtual Time as Potential on a State Space 
Author
Japanese: 大西 祐輝, 伊吹 竜也, 三平 満司.  
English: Yuki Onishi, Tatsuya Ibuki, Mitsuji Sampei.  
Language Japanese 
Journal/Book name
Japanese: 
English: 
Volume, Number, Page        
Published date Mar. 1, 2021 
Publisher
Japanese:計測自動制御学会 
English:The Society of Instrument and Control Engineers 
Conference name
Japanese:第8回計測自動制御学会制御部門マルチシンポジウム 
English:SICE the 8th Multi-symposium on Control Systems 
Conference site
Japanese: 
English: 
Abstract New interpretation of virtual time is proposed. This paper focuses on virtual time, a scalarparameter considered in time scale transformation, and its behavior. Both of them are analyzed as poten-tial of a state space. A theorem of the existence of virtual time is shown with Poincare lemma, and Liederivative yields a reciprocal of a time scaling function in autonomous systems. Geometric analysis derivesa similarity measurement of two virtual time. Moreover, once virtual time is given, regions where time scaletransformation can be applied are graphically determined as subspaces of a state space.

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