An a priori identifiability condition and order determination algorithm for MIMO systems

The identification of deterministic multi-input multi-output (MIMO) systems is studied. An a priori condition for determining the identifiability of stable and unstable MIMO systems is derived. The condition also determines the minimum length data sequence which will allow successful identification. In addition, an algorithm is presented for determining the order of the system prior to identifying the system parameters. In deriving the results the properties of a Sylvester matrix is used.