Canonical forms and parameter identification problems in perspective systems

Satoru Takahashi; Bijoy K. Ghosh

doi:10.1016/S0024-3795(01)00557-2

Canonical forms and parameter identification problems in perspective systems

Satoru Takahashi, Bijoy K. Ghosh

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

We introduce canonical forms for perspective dynamical systems under the action of a perspective group and illustrate their application to parameter identification with the aid of a single charged coupled device camera. We show that the parameters in the canonical form can be identified uniquely using an Extended Kalman Filter.

Original language	English
Pages (from-to)	701-717
Number of pages	17
Journal	Linear Algebra and Its Applications
Volume	351-352
DOIs	https://doi.org/10.1016/S0024-3795(01)00557-2
State	Published - Oct 13 2002

Keywords

Canonical forms
Extended Kalman Filter
Kronecker index
Parameter identification
Perspective dynamical systems

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title = "Canonical forms and parameter identification problems in perspective systems",

abstract = "We introduce canonical forms for perspective dynamical systems under the action of a perspective group and illustrate their application to parameter identification with the aid of a single charged coupled device camera. We show that the parameters in the canonical form can be identified uniquely using an Extended Kalman Filter.",

keywords = "Canonical forms, Extended Kalman Filter, Kronecker index, Parameter identification, Perspective dynamical systems",

author = "Satoru Takahashi and Ghosh, {Bijoy K.}",

note = "Funding Information: This research is supported in part by NSF under grant no. 9720357. ∗Corresponding author. E-mail addressess: saru@zach.wustl.edu (S. Takahashi), ghosh@netra.wustl.edu (B.K. Ghosh). Publisher Copyright: {\textcopyright} 2002 Elsevier Science Inc. All rights reserved.",

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doi = "10.1016/S0024-3795(01)00557-2",

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T1 - Canonical forms and parameter identification problems in perspective systems

AU - Takahashi, Satoru

AU - Ghosh, Bijoy K.

N1 - Funding Information: This research is supported in part by NSF under grant no. 9720357. ∗Corresponding author. E-mail addressess: saru@zach.wustl.edu (S. Takahashi), ghosh@netra.wustl.edu (B.K. Ghosh). Publisher Copyright: © 2002 Elsevier Science Inc. All rights reserved.

PY - 2002/10/13

Y1 - 2002/10/13

N2 - We introduce canonical forms for perspective dynamical systems under the action of a perspective group and illustrate their application to parameter identification with the aid of a single charged coupled device camera. We show that the parameters in the canonical form can be identified uniquely using an Extended Kalman Filter.

AB - We introduce canonical forms for perspective dynamical systems under the action of a perspective group and illustrate their application to parameter identification with the aid of a single charged coupled device camera. We show that the parameters in the canonical form can be identified uniquely using an Extended Kalman Filter.

KW - Canonical forms

KW - Extended Kalman Filter

KW - Kronecker index

KW - Parameter identification

KW - Perspective dynamical systems

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U2 - 10.1016/S0024-3795(01)00557-2

DO - 10.1016/S0024-3795(01)00557-2

M3 - Article

AN - SCOPUS:84943742169

VL - 351-352

SP - 701

EP - 717

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

SN - 0024-3795

ER -

Canonical forms and parameter identification problems in perspective systems

Abstract

Keywords

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