1到2分数阶非线性动力系统的稳定性分析（英文）

摘要

One new theorem for Caputo fractional derivative and two new theorems for Caputo fractional order systems,when 1 < a < 2,are proposed in this paper.The results have proved to be useful in order to apply the fractional-order extension of Lyapunov direct method,to demonstrate the instability and the stability of many fractional order systems,which can be nonlinear and time varying.