A System-Theoretic Appropriate Realization of the Empty Matrix Concept

In this paper we propose an algebraic realization of the empty matrix concept which is appropriate for system-theoretic applications. This realization differs considerably from the realization currently implemented by The Mathworks, Inc. within their MATLAB program. We demonstrate by repeated example the utility of our realization of the empty matrix concept, and through these same examples indicate the deficiencies of the current MATLAB realization of this concept. These examples fully delineate how the empty matrix concept can be utilized to transparently handle static and/or single vector input, single vector output systems within the more general context of dynamic, two vector input, two vector output systems.