A note on the coprime fractional representation of nonlinear feedback systems

Guanrong Chen

doi:10.1016/0167-6911(90)90079-A

A note on the coprime fractional representation of nonlinear feedback systems

Guanrong Chen

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

3 Citations (Scopus)

Abstract

A very large infinite-dimensional Banach space of bounded nonlinear operators is suggested as an underlying framework for studies of nonlinear systems control. Meanwhile, it is pointed out that all results obtained in Verma [6] can be extended to this much larger family of nonlinear control systems. © 1990.

Original language	English
Pages (from-to)	41-43
Journal	Systems and Control Letters
Volume	14
Issue number	1
DOIs	https://doi.org/10.1016/0167-6911(90)90079-A
Publication status	Published - Jan 1990
Externally published	Yes

Research Keywords

BIBO stability
bounded nonlinear operator
Coprime fractional representation
finite-gain stability
Lipschitz nonlinear operator
nonlinear feedback system

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10.1016/0167-6911(90)90079-A

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title = "A note on the coprime fractional representation of nonlinear feedback systems",

abstract = "A very large infinite-dimensional Banach space of bounded nonlinear operators is suggested as an underlying framework for studies of nonlinear systems control. Meanwhile, it is pointed out that all results obtained in Verma [6] can be extended to this much larger family of nonlinear control systems. {\textcopyright} 1990.",

keywords = "BIBO stability, bounded nonlinear operator, Coprime fractional representation, finite-gain stability, Lipschitz nonlinear operator, nonlinear feedback system",

author = "Guanrong Chen",

year = "1990",

month = jan,

doi = "10.1016/0167-6911(90)90079-A",

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journal = "Systems and Control Letters",

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T1 - A note on the coprime fractional representation of nonlinear feedback systems

AU - Chen, Guanrong

PY - 1990/1

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AB - A very large infinite-dimensional Banach space of bounded nonlinear operators is suggested as an underlying framework for studies of nonlinear systems control. Meanwhile, it is pointed out that all results obtained in Verma [6] can be extended to this much larger family of nonlinear control systems. © 1990.

KW - BIBO stability

KW - bounded nonlinear operator

KW - Coprime fractional representation

KW - finite-gain stability

KW - Lipschitz nonlinear operator

KW - nonlinear feedback system

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0025226351&origin=recordpage

U2 - 10.1016/0167-6911(90)90079-A

DO - 10.1016/0167-6911(90)90079-A

M3 - RGC 21 - Publication in refereed journal

SN - 0167-6911

VL - 14

SP - 41

EP - 43

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 1

ER -

A note on the coprime fractional representation of nonlinear feedback systems

Abstract

Research Keywords

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