New Stability Criteria for Discrete Linear Systems Based on Orthogonal Polynomials

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.

Bibliographic Details
Main Authors: Luis E. Garza, Noé Martínez, Gerardo Romero
Format: Article
Language:English
Published: MDPI AG 2020-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/8/1322