The roles of sampling zero dynamics in the discrete-time models for linear and nonlinear systems

It is well-known that the occurrence of sampling zero dynamics is relevant to the problem of discrete-time and sampled-data control for linear and nonlinear continuous-time systems. In particular, the sampling zero dynamics play also a very important role in the linear and nonlinear discrete-time transfer function and controller design. Here we explore some worthwhile results on the asymptotic properties of sampling zero dynamics to gain important new insights into the effect of sampling for linear and nonlinear systems. These results also demonstrate that the discrete-time models have to account, to some extent, for the sampling zero dynamics when considering the discrete dynamics behavior of the real control systems.