A necessary and sufficient condition for the perspective observability problem

W. P. Dayawansa; Bijoy K. Ghosh; Clyde Martin; Xiaochang Wang

doi:10.1016/0167-6911(94)00064-3

A necessary and sufficient condition for the perspective observability problem

W. P. Dayawansa, Bijoy K. Ghosh, Clyde Martin, Xiaochang Wang

Mathematics and Statistics

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

41 Scopus citations

Abstract

In this paper we derive a necessary and sufficient condition for observing the initial condition of a new class of system known as the perspective system. Such a system has already been applied in the field of computer vision especially in the area of motion estimation problems. Our result generalizes an earlier result by Popov-Belevitch-Hautus on the problem of observing a linear dynamical system.

Original language	English
Pages (from-to)	159-166
Number of pages	8
Journal	Systems and Control Letters
Volume	25
Issue number	3
DOIs	https://doi.org/10.1016/0167-6911(94)00064-3
State	Published - Jun 9 1995

Keywords

Nonlinear systems
Perspective observability

Access to Document

10.1016/0167-6911(94)00064-3

Cite this

@article{6641cf01dceb4c80bc603178d9ab2cc6,

title = "A necessary and sufficient condition for the perspective observability problem",

abstract = "In this paper we derive a necessary and sufficient condition for observing the initial condition of a new class of system known as the perspective system. Such a system has already been applied in the field of computer vision especially in the area of motion estimation problems. Our result generalizes an earlier result by Popov-Belevitch-Hautus on the problem of observing a linear dynamical system.",

keywords = "Nonlinear systems, Perspective observability",

author = "Dayawansa, {W. P.} and Ghosh, {Bijoy K.} and Clyde Martin and Xiaochang Wang",

year = "1995",

month = jun,

day = "9",

doi = "10.1016/0167-6911(94)00064-3",

language = "English",

volume = "25",

pages = "159--166",

journal = "Systems and Control Letters",

issn = "0167-6911",

number = "3",

}

TY - JOUR

T1 - A necessary and sufficient condition for the perspective observability problem

AU - Dayawansa, W. P.

AU - Ghosh, Bijoy K.

AU - Martin, Clyde

AU - Wang, Xiaochang

PY - 1995/6/9

Y1 - 1995/6/9

N2 - In this paper we derive a necessary and sufficient condition for observing the initial condition of a new class of system known as the perspective system. Such a system has already been applied in the field of computer vision especially in the area of motion estimation problems. Our result generalizes an earlier result by Popov-Belevitch-Hautus on the problem of observing a linear dynamical system.

AB - In this paper we derive a necessary and sufficient condition for observing the initial condition of a new class of system known as the perspective system. Such a system has already been applied in the field of computer vision especially in the area of motion estimation problems. Our result generalizes an earlier result by Popov-Belevitch-Hautus on the problem of observing a linear dynamical system.

KW - Nonlinear systems

KW - Perspective observability

UR - http://www.scopus.com/inward/record.url?scp=0029640105&partnerID=8YFLogxK

U2 - 10.1016/0167-6911(94)00064-3

DO - 10.1016/0167-6911(94)00064-3

M3 - Article

AN - SCOPUS:0029640105

SN - 0167-6911

VL - 25

SP - 159

EP - 166

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3

ER -

A necessary and sufficient condition for the perspective observability problem

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this