Parameterized Linear Systems and Linearization Families for Nonlinear Systems

Jianliang Wang; Wilson J. Rugh

doi:10.1109/TCS.1987.1086191

Parameterized Linear Systems and Linearization Families for Nonlinear Systems

Jianliang Wang, Wilson J. Rugh

Research output: Journal Publication › Article › peer-review

43 Citations (Scopus)

Abstract

The question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed. The parameterization can be in terms of operating-point inputs or operating-point outputs. For both parameterized linear state equations and parameterized transfer functions, existence conditions, and constructions, for a corresponding nonlinear system are presented.

Original language	English
Pages (from-to)	650-657
Number of pages	8
Journal	IEEE Transactions on Circuits and Systems
Volume	34
Issue number	6
DOIs	https://doi.org/10.1109/TCS.1987.1086191
Publication status	Published - Jun 1987
Externally published	Yes

ASJC Scopus subject areas

General Engineering

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10.1109/TCS.1987.1086191

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title = "Parameterized Linear Systems and Linearization Families for Nonlinear Systems",

abstract = "The question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed. The parameterization can be in terms of operating-point inputs or operating-point outputs. For both parameterized linear state equations and parameterized transfer functions, existence conditions, and constructions, for a corresponding nonlinear system are presented.",

author = "Jianliang Wang and Rugh, \{Wilson J.\}",

year = "1987",

month = jun,

doi = "10.1109/TCS.1987.1086191",

language = "English",

volume = "34",

pages = "650--657",

journal = "IEEE Transactions on Circuits and Systems",

issn = "0098-4094",

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

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T1 - Parameterized Linear Systems and Linearization Families for Nonlinear Systems

AU - Wang, Jianliang

AU - Rugh, Wilson J.

PY - 1987/6

Y1 - 1987/6

N2 - The question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed. The parameterization can be in terms of operating-point inputs or operating-point outputs. For both parameterized linear state equations and parameterized transfer functions, existence conditions, and constructions, for a corresponding nonlinear system are presented.

AB - The question of characterizing parameterized linear systems that can arise as linearization families of a nonlinear system about a family of constant operating points is addressed. The parameterization can be in terms of operating-point inputs or operating-point outputs. For both parameterized linear state equations and parameterized transfer functions, existence conditions, and constructions, for a corresponding nonlinear system are presented.

UR - https://www.scopus.com/pages/publications/0023363387

U2 - 10.1109/TCS.1987.1086191

DO - 10.1109/TCS.1987.1086191

M3 - Article

AN - SCOPUS:0023363387

SN - 0098-4094

VL - 34

SP - 650

EP - 657

JO - IEEE Transactions on Circuits and Systems

JF - IEEE Transactions on Circuits and Systems

IS - 6

ER -

Parameterized Linear Systems and Linearization Families for Nonlinear Systems

Abstract

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