Characterization of distributed input systems equivalent to general boundary input systems

In this paper, referring to the work of Inaba and Hinata (1993), we will introduce general boundary input systems described by C₀ -semigroups and construct distributed input systems equivalent to them. The relationship between the equivalent distributed input systems and regular systems of Salamon-Weiss class will be considered. Moreover, we will characterize a subclass of equivalent distributed input systems in the class of Salamon (1987) and Weiss (1989, 1994)