【摘要】 本文从Routh-Hurwitz数列的原理出发,讨论了其在"信号与系统"课程中系统稳定性判断时的应用。作为课题讲解的难点,笔者着重讨论了Routh数列全零行出现的原理。这是在本课程关于系统稳定性分析中让诸多学生感到困惑和难以理解的一个问题,本文利用辅助多项式与偶次多项式,使上述问题的讲解明朗化。更多还原

【Abstract】 From Routh-Hurwitz criterion,the judgment on system stability is discussed with several examples.As a topic on the difficulty,the principle for the appearance of zero rows in Routh series is detailed.In this paper,the comparison between auxiliary polynomial and even polynomial is given to make a clear explanation for system stability,which is a puzzling problem for most students.更多还原