New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

Abstract

A new criterion for Schur stability is derived by using basic results of the theory of orthogonal polynomials. In particular, we use the relation between orthogonal polynomials on the real line and on the unit circle known as the Szegő transformation. Some examples are presented.

Keywords

• orthogonal polynomials on the unit circle
• Schur polynomials
• Hurwitz polynomials
• Szegő transformation