DocumentCode
337026
Title
Recent results on classification of finite dimensional maximal rank estimation algebras with state space dimension up to 5
Author
Yau, Stephen S T ; Hu, Guo-Qing
Author_Institution
UIC, MSCS, Chicago, IL, USA
Volume
2
fYear
1998
fDate
16-18 Dec 1998
Firstpage
1311
Abstract
The idea of using estimation algebras to construct finite dimensional nonlinear filters was first proposed independently by Brockett (1981) and Mitter (1979). Brockett proposed to classify all finite dimensional estimation algebras. An affirmative solution to Brockett´s problem will allow one to construct all possible finite dimensional recursive filters from the Lie algebraic point of view. In this paper we classify all maximal rank finite dimensional estimation algebras with state space dimension five
Keywords
Lie algebras; estimation theory; filtering theory; nonlinear filters; recursive filters; state-space methods; Brockett problem; Lie algebra; estimation algebras; finite dimensional nonlinear filters; recursive filters; state space dimension; Algebra; Electronic mail; Equations; Filtering; Mathematics; Nonlinear dynamical systems; Nonlinear filters; Recursive estimation; State estimation; State-space methods;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location
Tampa, FL
ISSN
0191-2216
Print_ISBN
0-7803-4394-8
Type
conf
DOI
10.1109/CDC.1998.758462
Filename
758462
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