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 Szego transformation. Some examples are presented.

中文翻译：

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基于正交多项式的离散线性系统的新稳定性判据

利用正交多项式理论的基本结果，得出了Schur稳定性的新判据。特别是，我们使用实线和单位圆上的正交多项式之间的关系，称为Szego变换。给出了一些例子。