Macromodeling of nonlinear systems with piecewise-constant inputs

A representation theorem for ground stable nonlinear systems with piecewise-constant inputs is presented. It is a three-dimensional system of differential equations augmented by an algebraic output equation. The representation is characterized by parameters, where is the number of harmonics used to represent transients. Five of the parameters are positive constants, and the remaining parameters are functions of either or variables. Applications involving the macromodeling of higher dimensional linear and nonlinear systems are presented.