Application of polynomial array method to discrete-time system stability

The method of polynomial arrays may be effectively utilised in determining stability of polynomials containing literal coefficients. In the paper, the application of the polynomial array method to discrete-time systems is further investigated. Using tabular forms by Bistritz (1984) and by Premaratne and Jury (1993), both shift-operator and delta-operator formulated discrete-time systems are addressed. Critical stability constraints for such systems are obtained directly from these tabular forms. An important application of the proposed method is in digitising analogue systems with guaranteed stability.