A SYSTEM-THEORETIC APPROPRIATE REALIZATION OF THE EMPTY MATRIX CONCEPT

In this note we propose an algebraic realization of the empty matrix c oncept which is appropriate for system-theoretic applications. This re alization differs considerably from the realization currently implemen ted by the MathWorks, Inc. within their MATLAB program. We demonstrate by repeated example the utility of our realization of the empty matri x concept, and through these same examples indicate the deficiencies o f the current MATLAB realization of this concept. These examples fully delineate how the empty matrix concept can be utilized to transparent ly handle static and / or single vector input, single vector output sy stems within the more general context of dynamic, two vector input, tw o vector output systems.