Finite-dimensional filters with nonlinear drift .13. Classification of finite-dimensional estimation algebras of maximal rank with state-space dimension

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题名:	Finite-dimensional filters with nonlinear drift .13. Classification of finite-dimensional estimation algebras of maximal rank with state-space dimension
作者:	Chen,J;Yau,SST;Leung,CW
贡献者:	數學研究所
关键词:	THEOREMS
日期:	1997
上传时间:	2010-06-29 19:39:39 (UTC+8)
出版者:	中央大學
摘要:	The idea of using estimation algebra to construct finite-dimensional nonlinear filters was first proposed independently by Brockett and Mitter. Estimation algebra turns out to be a useful concept in the investigation of finite-dimensional nonlinear filters. In his talk at the International Congress of Mathematics in 1983, Brockett proposed classifying all finite-dimensional estimation algebras, Chiou and the present authors classify all finite-dimensional estimation algebras of maximal rank with dimension of the state space less than or equal to three. In this paper, we succeed in classifying all finite-dimensional estimation algebras of maximal rank with state-space dimension equal to four, In fact our method gives classification of all finite-dimensional algebras of maximal rank with state-space dimension equal to or less than four.
關聯:	SIAM JOURNAL ON CONTROL AND OPTIMIZATION
显示于类别:	[數學研究所] 期刊論文

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