會議論文

標題 Fundamental constraints on uncertainty evolution in Hamiltonian Systems
學年 94
學期 2
發表日期 2006/06/14
作品名稱 Fundamental constraints on uncertainty evolution in Hamiltonian Systems
作品名稱(其他語言)
著者 Hsiao, Fu-yuen; Scheeres, D.J.
作品所屬單位 淡江大學航空太空工程學系
出版者
會議名稱 American Control Conference, 2006
會議地點 Minnesota, USA
摘要 A realization of Gromov's nonsqueezing theorem and its applications to uncertainty analysis in Hamiltonian systems are studied in this paper. Gromov's nonsqueezing theorem describes a fundamental property of symplectic manifolds, however, this theorem is usually started in terms of topology and its physical meaning is vague. In this paper we introduce a physical interpretation of the linear symplectic width, which is the lower bound in the nonsqueezing theorem, given the eigenstructure of a positive-definite, symmetric matrix. Since a positive-definite, symmetric matrix always represents the uncertainty ellipsoid in practical mechanics problems, our study can be applied to uncertainty analysis. We find a fundamental inequality for the evolving uncertainty in a linear dynamical system and provide some numerical examples.
關鍵字
語言 英文
收錄於
會議性質 國際
校內研討會地點
研討會時間 20060614~20060616
通訊作者
國別 美國
公開徵稿 Y
出版型式
出處 Proceedings of the American Control Conference, 2006, 6p.