分数阶Chua ’ s系统的稳定性

摘要

文章研究分数阶Chua’ s系统的稳定性。利用压缩映射原理和Lyapunov直接法，分别给出系统非平凡解的一致稳定和系统平衡点的Mittag-Leffler稳定的充分条件，最后通过数值例子说明结果的有效性。%In this paper investigates the fractional order Chua’ s system. Moreover, some sufficient conditions for uniform stability of the nontrivial solution and Mittag-Leffler stability of the equilibrium points are obtained, by using the contraction mapping princi-ple and Lyapunov direct method, respectively. Finally, numerical examples are given to illustrate the effectiveness of the results.