查詢結果分析
相關文獻
- A Note on Estimation Algebras with Maximal Rank
- Some Results on Estimation Algerras in Nonlinear Filtering Theory
- Threshold Decomposition Algorithms for Soft Morphological Operations Part I:Dilation
- Threshold Decomposition Algorithms for Soft Morphological Erosion
- The Design and Implementation of Gray-Scale Soft Morphological Filters
- Finite Dimensional Nonlinear Filters of a Class of Filtering Systems
頁籤選單縮合
題 名 | A Note on Estimation Algebras with Maximal Rank=有關具有最大秩估計代數的一些結果 |
---|---|
作 者 | 邱文齡; | 書刊名 | Fu Jen Studies. Science and Engineering |
卷 期 | 31 1997.12[民86.12] |
頁 次 | 頁33-51 |
分類號 | 313.79 |
關鍵詞 | 非線性濾過; 估計代數; Nonlinear filter; Estimation algebra; |
語 文 | 英文(English) |
中文摘要 | Brockett及Mitte分別提出利用估計代數構造有限維的非線性濾過。估計代數的概念扮演瞭解有限維非線性過濾的主要方法。在1983年Brockett提出將有限維估計代數分類。在Chen,Yau及Leung的論文中,這三位作者介紹了一矩陣方程式。在系統狀態維度是4的情況下,應用此矩陣方程式對最大秩有限維的方程式對最大秩有限維的估計代數作出分類。在本篇論文我們得到(1)此矩陣方程式在狀態空間維度小於4的狀況下只有簡易解(trivialsolution)的另證。(2)有關於此矩陣方程式在狀態空間維度為任意維的條件下只 有簡易解的一個充分必要條件。 |
英文摘要 | The idea of using estimation algebra to construct the finite nonlinear filter was first proposed by Brockett and Clark, Brockett, and Mitter independently. The concept of estimation algebras was proven to be an invaluable tool in the study of nonlinear filtering problems. In his famous talk at the International Congress of Mathematicians in 1983, Brockett proposed to classify all finite dimensional estimation algebras. In the paper of Chen-Yau-Leung, they introduced a matrix's equation and use it to obtain a classification theorem of finite dimensional esitimation algebras of maximal rank with the state space dimension 4. In this paper, we provide a different proof concerning the equation of matrix when the state space dimension is less than or equal to 4. Also for arbitrary finite-dimensional state apace, we provide a simple sufficient and necessary condition for a structure result. |
本系統中英文摘要資訊取自各篇刊載內容。