On nonlinear inner systems and connections with control theory

Mark A. Petersen; Arjan van der Schaft

On nonlinear inner systems and connections with control theory

Mark A. Petersen, Arjan van der Schaft

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

26 Downloads (Pure)

Abstract

This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed. In particular, explicit formulas for the (state space) realizations of nonlinear inner systems in terms of the components of extremal spectral factors is provided. Relationships between inner systems and process control, geometric control and H-infinity control are also discussed.

Original language	Undefined
Title of host publication	Proceedings of the 15th IFAC World Congress
Place of Publication	Barcelona
Publisher	Elsevier
Pages	1656-1661
Number of pages	6
ISBN (Print)	978-0-08-044295-2
Publication status	Published - 2002
Event	15th IFAC World Congress 2002 - Barcelona, Spain Duration: 21 Jul 2002 → 26 Jul 2002 Conference number: 15 http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Publication series

Name
Publisher	Elsevier
Volume	15

Conference

Conference	15th IFAC World Congress 2002
Country/Territory	Spain
City	Barcelona
Period	21/07/02 → 26/07/02
Internet address	http://folk.ntnu.no/skoge/prost/proceedings/ifac2002/home.htm

Keywords

METIS-211007
Nonlinear inner systems
EWI-16740
$H_\infty$ control
Process Control
IR-69141
Spectral factorization
Geometric control

Access to Document

Cite this

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title = "On nonlinear inner systems and connections with control theory",

abstract = "This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed. In particular, explicit formulas for the (state space) realizations of nonlinear inner systems in terms of the components of extremal spectral factors is provided. Relationships between inner systems and process control, geometric control and H-infinity control are also discussed.",

keywords = "METIS-211007, Nonlinear inner systems, EWI-16740, $H_\infty$ control, Process Control, IR-69141, Spectral factorization, Geometric control",

author = "Petersen, {Mark A.} and {van der Schaft}, Arjan",

year = "2002",

language = "Undefined",

isbn = "978-0-08-044295-2",

publisher = "Elsevier",

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TY - GEN

T1 - On nonlinear inner systems and connections with control theory

AU - Petersen, Mark A.

AU - van der Schaft, Arjan

N1 - Conference code: 15

PY - 2002

Y1 - 2002

N2 - This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed. In particular, explicit formulas for the (state space) realizations of nonlinear inner systems in terms of the components of extremal spectral factors is provided. Relationships between inner systems and process control, geometric control and H-infinity control are also discussed.

AB - This paper extends some results involving linear inner systems to the nonlinear case. In thsi regard, the arithmetic of nonlinear inner systems is developed further and some new connections with nonlinear spectral and all-pass factorization and control theory are discussed. In particular, explicit formulas for the (state space) realizations of nonlinear inner systems in terms of the components of extremal spectral factors is provided. Relationships between inner systems and process control, geometric control and H-infinity control are also discussed.

KW - METIS-211007

KW - Nonlinear inner systems

KW - EWI-16740

KW - $H_\infty$ control

KW - Process Control

KW - IR-69141

KW - Spectral factorization

KW - Geometric control

M3 - Conference contribution

SN - 978-0-08-044295-2

SP - 1656

EP - 1661

BT - Proceedings of the 15th IFAC World Congress

PB - Elsevier

CY - Barcelona

T2 - 15th IFAC World Congress 2002

Y2 - 21 July 2002 through 26 July 2002

ER -