一种代数形式的稳定性判据

STABILITY CRITERION VIA ALGEBRA

应用Ｒｏｕｃｈｅ定理于线性定常系统的稳定性分析，得到关于单输入单输出（ＳＩＳＯ）系统不等式形式的稳定性判据，并将此方法推广到多输入多输出（ＭＩＭＯ）系统，导出了判定多变量系统稳定性的一个充分条件。分析预示了Ｒｏｕｃｈｅ定理在系统理论中的应用潜力。

Rouche Theorem is applied to linear time-invariant system analysis and a stability criterion in inequality form for single-input single-output (SISO) systems.is provided. This procedure is extended to multi-input multi-output (MIMO) systems and a sufficient condition of stability for multivariable systems is derived.All the discussion reveals that there is potentiality for Rouche Theorem to be applies in system theory.