Irreducible representations of L2-signals

The authors consider linear dynamic representations of L ²-signals, i.e., shift-invariant vector spaces of L ²-functions. The trajectories of the signal are generated as the output of linear time-invariant systems driven by L² inputs. The authors characterize the properties of minimal representations in terms of their zeros and show how equivalent minimal representations are related to each other by the action of the state-feedback group