On the Bistritz tabular form and its relationship with the Schur-Cohn minors and inner determinants

The Bistritz tabular form may be utilized in determining discrete-time system stability with less computational effort as compared with the Jury tabular form. When appropriately constructed, the latter, however, provides the Schur-Cohn minors and the inner determinants related to the characteristic equation being tested. In this paper, we show that these quantities also may be extracted from the Bistritz tabular form. The cases of polynomials with both real- and complex-valued coefficients are studied. An important consequence of these relationships is the possibility of utilizing the Bistritz table in determining stability of two- and multi-dimensional discrete-time systems.