Inner-outer factorization for nonlinear noninvertible systems

Joseph A. Ball; Mark A. Petersen; Arjan van der Schaft

doi:10.1109/TAC.2004.825644

Inner-outer factorization for nonlinear noninvertible systems

Joseph A. Ball, Mark A. Petersen, Arjan van der Schaft

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

12 Citations (Scopus)

157 Downloads (Pure)

Abstract

This paper considers inner-outer factorization of asymptotically stable nonlinear state space systems in continuous time that are noninvertible. Our approach will be via a nonlinear analogue of spectral factorization which concentrates on first finding the outer factor instead of the inner factor. An application of the main result to control of nonminimum phase nonlinear systems is indicated.

Original language	English
Pages (from-to)	483-492
Number of pages	10
Journal	IEEE transactions on automatic control
Volume	49
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2004.825644
Publication status	Published - Apr 2004

Keywords

n/a OA procedure

Access to Document

10.1109/TAC.2004.825644

Cite this

@article{fddcec19f84c43f99d0a1fdc51ecc572,

title = "Inner-outer factorization for nonlinear noninvertible systems",

abstract = "This paper considers inner-outer factorization of asymptotically stable nonlinear state space systems in continuous time that are noninvertible. Our approach will be via a nonlinear analogue of spectral factorization which concentrates on first finding the outer factor instead of the inner factor. An application of the main result to control of nonminimum phase nonlinear systems is indicated.",

keywords = "n/a OA procedure",

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

year = "2004",

month = apr,

doi = "10.1109/TAC.2004.825644",

language = "English",

volume = "49",

pages = "483--492",

journal = "IEEE transactions on automatic control",

issn = "0018-9286",

publisher = "IEEE",

number = "4",

}

TY - JOUR

T1 - Inner-outer factorization for nonlinear noninvertible systems

AU - Ball, Joseph A.

AU - Petersen, Mark A.

AU - van der Schaft, Arjan

PY - 2004/4

Y1 - 2004/4

N2 - This paper considers inner-outer factorization of asymptotically stable nonlinear state space systems in continuous time that are noninvertible. Our approach will be via a nonlinear analogue of spectral factorization which concentrates on first finding the outer factor instead of the inner factor. An application of the main result to control of nonminimum phase nonlinear systems is indicated.

AB - This paper considers inner-outer factorization of asymptotically stable nonlinear state space systems in continuous time that are noninvertible. Our approach will be via a nonlinear analogue of spectral factorization which concentrates on first finding the outer factor instead of the inner factor. An application of the main result to control of nonminimum phase nonlinear systems is indicated.

KW - n/a OA procedure

U2 - 10.1109/TAC.2004.825644

DO - 10.1109/TAC.2004.825644

M3 - Article

SN - 0018-9286

VL - 49

SP - 483

EP - 492

JO - IEEE transactions on automatic control

JF - IEEE transactions on automatic control

IS - 4

ER -

Inner-outer factorization for nonlinear noninvertible systems

Abstract

Keywords

Access to Document

Fingerprint

Cite this