Response of nonlinear sampled-data systems with nonzero initial conditions and response for in-between sampling via Volterra series

Nonzero initial conditions are included in the Volterra series solution of a class of nonlinear sampled-data systems that is described by ordinary difference equations with constant coefficients. Also, it is shown how one can find an upper bound on the intersampling response of the system under consideration. These developments are made through the use of the Banach fixed-point theorem.