Title
Finite Dimensional Estimation Algebras With State Dimension 3 And Rank 2, Mitter Conjecture
Abstract
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
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 Shi111.83
Stephen S Yau21768193.24