论文标题
Lyapunov功能和分数系统的稳定性分析
Lyapunov Functions and Stability Analysis of Fractional-Order Systems
论文作者
论文摘要
这项研究提出了针对某些特定功能定义的无奇异核的分数衍生物的新估计。基于获得的不平等，我们提供了一种有用的方法来建立分数系统的稳态的全球稳定性，并概括了文献中存在的一些作品。最后，我们运用结果来证明具有一般发病率的分数SEIR模型的全球稳定性。
This study presents new estimates for fractional derivatives without singular kernels defined by some specific functions. Based on obtained inequalities, we give a useful method to establish the global stability of steady states for fractional-order systems and generalize some works existing in the literature. Finally, we apply our results to prove the global stability of a fractional-order SEIR model with a general incidence rate.
