Restricted equivalence and structure at infinity: extension to the linear time-varying case in an intrinsic module-based approach

The whole structure at infinity of linear time-varying systems is defined using a module language. The connection between the intrinsic character of this approach and the notion of restricted equivalence is pointed out. The definitions given here are proved to be a relevant extension to the time-varying case and in a unified viewpoint of the definitions previously given in the literature in the time-invariant case.