Exact finite dimensional filters for a class of nonlinear discrete-time systems†
作者:
J. Levine,
G. Pignie,
期刊:
Stochastics
(Taylor Available online 1986)
卷期:
Volume 18,
issue 2
页码: 97-132
ISSN:0090-9491
年代: 1986
DOI:10.1080/17442508608833404
出版商: Gordon and Breach, Science Publishers, Inc
关键词: Discrete-time nonlinear systems;finite dimensional filters;minimal realization;system's immersion;sufficient statistics;exponential families
数据来源: Taylor
摘要:
We obtain a necessary and sufficient condition for the existence of finite dimensional filters for the class of nonlinear discrete-time systems without dynamical noise. This condition is used to obtain an explicit formula of the minimal filter, as well as various system theoretic properties of the system and of its filter. These results are applied to a tracking problem for a moving target.
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