关于一类非线性分数阶微分系统线性化稳定性的注记
A note about the linearized stability of a class of nonlinear fractional differential systems
摘要：
本文讨论了一类非线性$α\in(1,2)$阶Caputo分数阶微分系统平凡解的线性化稳定性。我们表明，最近在这个方向上的一些现有的结果是错误的。为了完善文献，我们还给出了一个判据来检验这个系统的平凡解的渐近稳定性。
英文摘要：
In this paper, we discuss on the linearized stability of the trivial solution for a class of nonlinear Caputo fractional differential systems of order $α\in(1,2)$. We show that some recent existing results in this direction are wrong. To complete the literature we also give a criterion to test the asymptotic stability of the trivial solution of this system.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
