Title | ||
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Finite Dimensional Estimation Algebras With State Dimension 3 And Rank 2, Mitter Conjecture |
Abstract | ||
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In this paper, we study the structure of finite dimensional estimation algebras with state dimension 3 and rank 2 arising from a nonlinear filtering system by using the theories of the Euler operator and under-determined partial differential equations. It is proved that if the estimation algebra contains a degree two polynomial, then the Wong omega-matrix must be a constant matrix. Moreover, all functions in the estimation algebra must be linear functions. |
Year | DOI | Venue |
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2020 | 10.1080/00207179.2018.1550268 | INTERNATIONAL JOURNAL OF CONTROL |
Keywords | DocType | Volume |
Estimation theory, algebraic methods, nonlinear models, finite dimensional filter | Journal | 93 |
Issue | ISSN | Citations |
9 | 0020-7179 | 0 |
PageRank | References | Authors |
0.34 | 2 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Ji Shi | 1 | 1 | 1.83 |
Stephen S Yau | 2 | 1768 | 193.24 |