This monograph focuses on the basics and the relevant metrological aspects of dynamic measuring systems which are becoming very important with the increasing networking and synchronization of digital systems. In the foreground are the modeling and state space description of dynamic measurement systems and signals as well as the propagation of measurement uncertainties that can be derived from them. With the help of numerous practical examples from metrology, this succeeds extraordinarily clearly. The link to the classical literature on dynamic measurement systems is successfully established in chapter 4, which deals with the dynamics of mechanical measurands. The step into the digital modern age or the IoT related metrology takes place in chapter 6, which deals with the dynamics of cognitive systems and digital metrological twins.