论文标题
Routh-Hurwitz稳定性和稳健稳定性的标准，用于分数级系统，其α{\ in} [1,2）
Routh-Hurwitz criterion of stability and robust stability for fractional-order systems with order α{\in}[1,2)
论文作者
论文摘要
根据广义的Routh-Hurwitz标准，我们提出了一个足够且必要的标准，用于测试具有α{\ in} [1,2）的分数线性系统的稳定性，称为分数ruther-order-order-order-order-order-restional-order-order-order-order-order-restions-order-order-order-rest-routh-hurwitz标准。与现有标准相比，我们的标准涉及较少，更简单的表达式，这对于分析分数不确定系统的稳健稳定性很重要。所有这些表达式都是有关系统矩阵特征多项式系数的明确表达式，因此可以直接描述分数不确定系统的稳定参数区域。一些例子显示了我们方法的有效性。
Based on the generalized Routh-Hurwitz criterion, we propose a sufficient and necessary criterion for testing the stability of fractional-order linear systems with order α{\in}[1,2), called the fractional-order Routh-Hurwitz criterion. Compared with the existing criterion, our one involves fewer and simpler expressions, which is significant for analyzing robust stability of fractional-order uncertain systems. All these expressions are explicit ones about the coefficients of the characteristic polynomial of system matrix, so the stable parameter region of fractional-order uncertain systems can be described directly. Some examples show the effectiveness of our method.
