A new multidimensional Schur-Cohn type stability criterion

In this paper a new multidimensional BIBO stability algorithm is proposed. The algorithm is based on a necessary and sufficient condition for BIBO stability of n-dimensional filters. The criterion involves the use of the functional Schur coefficients, recently introduced by the authors. This new criterion only needs a unique condition to be checked, as an alternative to the set of N - 1 conditions of the Jury-Anderson or DeCarlo Strintzis stability test. A new procedure involving the Modified Multidimensional Jury Table for testing this criterion is proposed. The procedure is illustrated by a two-dimensional example.