estimation algebra
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Structure of finite dimensional exact estimation algebra on state dimension 3 and linear rank 2

International Journal of Control ◽

10.1080/00207179.2021.1992673 ◽

2021 ◽

pp. 1-0

Author(s):

Xiaopei Jiao ◽

Stephen S.-T. Yau

Keyword(s):

Linear Rank ◽

Finite Dimensional ◽

Estimation Algebra ◽

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Novel Classification of Finite Dimensional Filters with Non-maximal Rank Estimation Algebra

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147312 ◽

2020 ◽

Author(s):

Wenhui Dong ◽

Xiuqiong Chen ◽

Stephen S.-T. Yau

Keyword(s):

Maximal Rank ◽

Rank Estimation ◽

Finite Dimensional ◽

Estimation Algebra

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New Classes of Finite Dimensional Filters with Nonmaximal Rank Estimation Algebra on State Dimension $n$ and Linear Rank $n-2$

SIAM Journal on Control and Optimization ◽

10.1137/20m1350467 ◽

2020 ◽

Vol 58 (6) ◽

pp. 3413-3427

Author(s):

Xiao-pei Jiao ◽

Stephen S.-T. Yau

Keyword(s):

Rank Estimation ◽

Linear Rank ◽

Finite Dimensional ◽

Estimation Algebra

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The novel classes of finite dimensional filters with non-maximal rank estimation algebra on state dimension four and rank of one

International Journal of Control ◽

10.1080/00207179.2019.1637543 ◽

2019 ◽

pp. 1-10 ◽

Author(s):

Wenhui Dong ◽

Xiuqiong Chen ◽

Stephen S.-T. Yau

Keyword(s):

Maximal Rank ◽

The Novel ◽

Rank Estimation ◽

Finite Dimensional ◽

Estimation Algebra

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Constant structure of Wong's matrix in the maximal rank estimation algebra

The 2002 International Conference on Control and Automation, 2002. ICCA. Final Program and Book of Abstracts. ◽

10.1109/icca.2002.1229672 ◽

2005 ◽

Author(s):

Xi Wu ◽

S.S.-T. Yau ◽

Xiaozhou Yang

Keyword(s):

Maximal Rank ◽

Rank Estimation ◽

Constant Structure ◽

Estimation Algebra

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The Estimation Algebra of Nonlinear Filtering Systems

Mathematical Control Theory ◽

10.1007/978-1-4612-1416-8_2 ◽

1999 ◽

pp. 33-65 ◽

Author(s):

Wing Shing Wong ◽

Stephen S. T. Yau

Keyword(s):

Nonlinear Filtering ◽

Estimation Algebra

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Optimal filter realization for a class of nonlinear systems with finite-dimensional estimation algebra

Systems & Control Letters ◽

10.1016/s0167-6911(84)80047-x ◽

1984 ◽

Vol 4 (1) ◽

pp. 23-26 ◽

Author(s):

Zvi S. Roth ◽

Kenneth A. Loparo

Keyword(s):

Nonlinear Systems ◽

Optimal Filter ◽

Finite Dimensional ◽

Estimation Algebra

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