I'm reading a book on linear systems and I can't understand why the unit-time delay is a distributed system. This is the example given in the book:
I understand that the initial state of the system is the input, that is:
However, for me, a distributed system is something like a transmission line, where the parameters can't be modeled accurately by "discrete" and finite elements.
I can't grasp why this system is classified as distributed just because there are an infinite number of points describing the initial state.