會議論文
| 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 | en |
| 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 | USA |
| 公開徵稿 | Y |
| 出版型式 | |
| 出處 | Proceedings of the American Control Conference, 2006, 6p. |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/38392 ) |