Explicit construction of finite-dimensional nonlinear filters with state space dimension 4

Chi Wah Leung; Stephen S.T. Yau; Jie Chen

Explicit construction of finite-dimensional nonlinear filters with state space dimension 4

Chi Wah Leung
, Stephen S.T. Yau
, Jie Chen

Hong Kong Metropolitan University

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this note, we use the Wei-Norman approach to explicitly construct finite-dimensional nonlinear filters with state space dimension four. It is shown that from the Lie algebraic point of view, generically all finite-dimensional recursive filters are of this form.

Original language	English
Pages (from-to)	4462-4466
Number of pages	5
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	5
Publication status	Published - 1997
Event	Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA Duration: 10 Dec 1997 → 12 Dec 1997

Cite this

@article{179bc93b50dd46958d43d284b378c378,

title = "Explicit construction of finite-dimensional nonlinear filters with state space dimension 4",

abstract = "In this note, we use the Wei-Norman approach to explicitly construct finite-dimensional nonlinear filters with state space dimension four. It is shown that from the Lie algebraic point of view, generically all finite-dimensional recursive filters are of this form.",

author = "Leung, \{Chi Wah\} and Yau, \{Stephen S.T.\} and Jie Chen",

year = "1997",

language = "English",

volume = "5",

pages = "4462--4466",

journal = "Proceedings of the IEEE Conference on Decision and Control",

issn = "0191-2216",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) ; Conference date: 10-12-1997 Through 12-12-1997",

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T1 - Explicit construction of finite-dimensional nonlinear filters with state space dimension 4

AU - Leung, Chi Wah

AU - Yau, Stephen S.T.

AU - Chen, Jie

PY - 1997

Y1 - 1997

N2 - In this note, we use the Wei-Norman approach to explicitly construct finite-dimensional nonlinear filters with state space dimension four. It is shown that from the Lie algebraic point of view, generically all finite-dimensional recursive filters are of this form.

AB - In this note, we use the Wei-Norman approach to explicitly construct finite-dimensional nonlinear filters with state space dimension four. It is shown that from the Lie algebraic point of view, generically all finite-dimensional recursive filters are of this form.

UR - https://www.scopus.com/pages/publications/0031347442

M3 - Conference article

AN - SCOPUS:0031347442

SN - 0191-2216

VL - 5

SP - 4462

EP - 4466

JO - Proceedings of the IEEE Conference on Decision and Control

JF - Proceedings of the IEEE Conference on Decision and Control

T2 - Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5)

Y2 - 10 December 1997 through 12 December 1997

ER -

Explicit construction of finite-dimensional nonlinear filters with state space dimension 4

Abstract

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