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

Author:

Dong Wenhui1,Chen Xiuqiong12,Yau Stephen S.-T.1

Affiliation:

1. Department of Mathematical Sciences, Tsinghua University, Beijing, People's Republic of China

2. Yau Mathematical Sciences Center, Tsinghua University, Beijing, People's Republic of China

Funder

National Natural Science Foundation of China

Publisher

Informa UK Limited

Subject

Computer Science Applications,Control and Systems Engineering

Reference30 articles.

1. Brockett, R. W. (1981). Nonlinear systems and nonlinear estimation theory. In M. Hazewinkel & J. C. Willems (Eds.), The mathematics of filteing and identification and applications (pp. 441–477). Springer, Dordrecht: Reidel.

2. Brockett, R. W. & Clark, J. M. C. (1980). The geometry of the conditional density functions. In O. L. R. Jacobs, et al. (Eds.), Analysis and optimisation of stochastic systems (pp. 399–409). New Tork: Academic.

3. A survey of numerical methods for nonlinear filtering problems

4. Finite-dimensional filters with nonlinear drift, VI: Linear structure of Ω

5. Finite-Dimensional Filters with Nonlinear Drift. II: Brockett’s Problem on Classification of Finite-Dimensional Estimation Algebras

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