论文标题
一般分数线性时间传播系统的渐近级渐近稳定性标准
A criterion for asymptotic stability of general fractional-order linear time-invariant systems with incommensurate orders
论文作者
论文摘要
本文提出了针对具有无数级订单的分数系统渐近稳定性的标准。现有方法始终假设订单参数为有理数或任何两个订单的比率是有理数。在工程应用程序中，订单参数更可能不确定哪个可能是实数。此外，确定稳定参数区域的边界，将参数空间分解为有限的连接区域。所有参数属于同一区域的系统都具有相同的稳定性。每个区域只需要检查一个点即可确定该区域的稳定性。本文建立的方法涉及低计算复杂性，并清楚地赋予了顺序参数与稳定性之间的关系。一些示例显示了此方法的优势。
A criterion on the asymptotic stability of fractional-order systems with incomensurate orders is proposed in this paper. Existing methods always assume order parameters be rational numbers or the ratios of any two orders be rational numbers. In engineering applications, order parameters are more likely to be uncertain which may be real numbers. Furthermore, the boundary of the stable parameter region is determined, which decomposes parameter space into the finite number of connected regions. All systems whose parameters belong to the same region have the same stability. Each region only needs checking one point to determine the stability of the region. The method established in this paper involves low computational complexity and clearly gives the relationship between order parameters and stability. Some examples show the advantages of this method.
