Title :
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
fDate :
4/1/2004 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.825644
