In this note, a formula for the Bohl exponent of a discrete system with slowly varying coefficients was proved. This formula expresses the Bohl exponent through the eigenvalues of the coefficients. Based on these formulae a necessary and sufficient condition for uniform exponential stability of such systems are also presented.

中文翻译：

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离散时变系统的 Bohl 指数公式

在这篇笔记中，证明了具有缓慢变化系数的离散系统的 Bohl 指数公式。该公式通过系数的特征值来表示 Bohl 指数。基于这些公式，还提出了此类系统的均匀指数稳定性的充分必要条件。