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タイトル
和文:状態空間上のポテンシャルとしての仮想時間の解釈 
英文:Interpretation of Virtual Time as Potential on a State Space 
著者
和文: 大西 祐輝, 伊吹 竜也, 三平 満司.  
英文: Yuki Onishi, Tatsuya Ibuki, Mitsuji Sampei.  
言語 Japanese 
掲載誌/書名
和文: 
英文: 
巻, 号, ページ        
出版年月 2021年3月1日 
出版者
和文:計測自動制御学会 
英文:The Society of Instrument and Control Engineers 
会議名称
和文:第8回計測自動制御学会制御部門マルチシンポジウム 
英文:SICE the 8th Multi-symposium on Control Systems 
開催地
和文: 
英文: 
アブストラクト 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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