we also say then that S is a classical dynamical system.
the often-used terminology autonomous has the disadvantage of appearing in the theory of differential equations to refer to what we call below time-invariance.
for systems with no controls, there is for each W only one possible element in W, so W is independent of the last coordinate; we then write simply W.
the most important general subclass of systems is that of time-invariant systems, for which the structure the structure is independent of time, that is, E depends only on E