Causality, Strict Causality and Invertibility for Systems in Hilbert Resolution Spaces

Abstract

The Hilbert resolution space setting is used to obtain some new sufficient conditions for the existence and causality of an inverse system. These conditions, are applicable when the system under consideration is characterized by a behavior which is special, in some sense, with respect to the notion of causality. Relevant conceptual connections with recent problems in system sensitivity and stability theory are pointed out.