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| Titel: |
Complete classification of finite-dimensional estimation algebras of maximal rank |
| Auteur: |
Yau, Stephen S. -T. |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 76 (2003) nr. 7 pagina's 657-677 |
| Jaar: |
2003-01-10 |
| Inhoud: |
The idea of using estimation algebras to construct finite-dimensional non-linear filters was first proposed by Brockett and Clark, and Mitter independently. In his famous talk at the International Congress of Mathematics in 1983, Brockett proposed to classify all finite-dimensional estimation algebras. In this paper we explain why the theory of estimation algebras plays an important role in non-linear filtering. We show how to use the Wei-Norman approach to construct finite-dimensional filters from finite-dimensional estimation algebras. We survey some results in estimation algebras after 1984. We give a self-contained proof of complete classification of finite-dimensional estimation algebras of maximal rank in one place. The proof given here is simpler than those proofs scattered in several papers. This provides the readers with a complete coherent view of the important topic of the classification of finite-dimensional estimation algebras. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 3 van 9 gevonden artikelen
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