Magnitude bounds of generalized frequency response functions of nonlinear Volterra systems

Magnitude bounds of the frequency response functions for nonlinear Volterra systems described by NARX model are established. The magnitude bound of the nth order generalized frequency response function (GFRF) is expressed as an n-degree polynomial function of the magnitude of the 1^st order GFRF, and the coefficients of this polynomial expression are functions of the model parameters. The new result reveals explicitly the analytical relationship between model parameters and magnitudes of the GFRFs.