15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
MINIMAL ORDER DISCRETE-TIME NONLINEAR SYSTEM INVERSION
Yufan Zheng and Robin J. Evans*
* Department of Electrical and Electronic Engineering
The University of Melbourne, Parkville, VIC. 3052, AUSTRALIA
email:y.zheng@ee.mu.oz.au, r.evans@ee.mu.oz.au

The left-inversion system for a discrete-time nonlinear system is studied in a linear algebraic framework. The general structure of the left inverse is described. Two algorithms are given for constructing left-inverse systems having minimal order.
Keywords: left-inverse, discrete-time system, nonlinear system, linear algebra
Session slot T-Th-E07: Nonlinear Discrete Time Systems II/Area code 2c : Non-linear Systems