IEEE Transactions on Automatic Control, Vol.49, No.4, 483-492, 2004
Inner-outer factorization for nonlinear noninvertible systems
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 them inner factor. An application of the main result to control of nonminimum phase nonlinear systems is indicated.
Keywords:Hamilton-Jacobi inequality;inner-outer factorization;nonlinear noninvertible systems;nonlinear Smith predictor