Existence of state equation representation of linear large-scale dynamical systems

Linear time-invariant large-scale dynamical systems (LSDS´s) are considered. A component-connection model is first proposed. Conditions under which an LSDS has a state equation representation are determined. A characterization of a class of dynamical systems, called unimodules, is established. A unimodule has the property that any given dynamical system can be realized by an interconnection of such unimodules.