Inner-outer factorization for nonlinear noninvertible systems

Author

Ball, Joseph A. ; Petersen, Mark A. ; Van der Schaft, Arjan

Author_Institution

Dept. of Math., Virginia Polytech. Inst. & State Univ., Blacksburg, VA, USA

Volume

49

Issue

4

fYear

2004

fDate

4/1/2004 12:00:00 AM

Firstpage

483

Lastpage

492

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

Jacobian matrices; asymptotic stability; continuous time systems; matrix decomposition; nonlinear control systems; state-space methods; Hamilton-Jacobi inequality; asymptotic stability; continuous time systems; dissipative systems; inner-outer factorization; nonlinear Smith predictor; nonlinear noninvertible systems; phase nonlinear system control; spectral factorization; state space systems; Africa; Asymptotic stability; Channel hot electron injection; Control systems; Linear matrix inequalities; Mathematics; Matrix decomposition; Nonlinear control systems; Nonlinear systems; State-space methods;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2004.825644

Filename

1284712