分数阶Chua’s系统的稳定性（英文）  

Sability of Fractional-order Chua's System

作　　者：周益华[1] 俞瑜[1] 郑琛琛[1] 柯云泉[1] 

机构地区：[1]绍兴文理学院数学系,浙江绍兴312000

出　　处：《绍兴文理学院学报》2015年第8期1-10,共10页Journal of Shaoxing University

基　　金：Science and technology innovation project of the students of Shaoxing University

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.

关 键 词：Chua’s系统 分数阶 Mittag-Leffler稳定 

分 类 号：O415[理学—理论物理]