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2.3 Nonlinear State-Variable Systems                          35

            known to be invertible so that











            or


                                                                          (1)


            where







            Discrete-Time Systems

            A nonlinear, scalar, discrete-time, time-invariant system is described by a
            nonlinear, scalar, constant-coefficient difference equation such as,



                                                                       (2.3.6)

            where y(.) and u are as defined before. A simple choice of state variables will
            lead to













                                                                       (2.3.7)

            or, more compactly, as


            Copyright © 2004 by Marcel Dekker, Inc.
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