Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

被引：2
作者：
Wang Qiao [1 ]
Ding Dong-Sheng [1 ]
Qi Dong-Lian [1 ]
机构：
[1] Zhejiang Univ, Coll Elect Engn, Hangzhou 310027, Peoples R China
来源：
CHINESE PHYSICS B | 2015年 / 24卷 / 06期
基金：
中国国家自然科学基金;
关键词：
chaos; synchronization; adaptive control; Mittag-Leffler stability; ADAPTIVE IMPULSIVE SYNCHRONIZATION; STABILITY;
D O I：
10.1088/1674-1056/24/6/060508
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper deals with the synchronization of fractional-order chaotic systems with unknown parameters and unknown disturbances. An adaptive control scheme combined with fractional-order update laws is proposed. The asymptotic stability of the error system is proved in the sense of generalized Mittag-Leffler stability. The two fractional-order chaotic systems can be synchronized in the presence of model uncertainties and additive disturbances. Finally these new developments are illustrated in examples and numerical simulations are provided to demonstrate the effectiveness of the proposed control scheme.
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页数：6
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