Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

doi:10.1088/1674-1056/24/6/060508

Abstract 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.

Keywords: chaos synchronization adaptive control Mittag-Leffler stability

Received: 19 November 2014
Revised: 28 December 2014
Accepted manuscript online:

PACS:	05.45.Gg	(Control of chaos, applications of chaos)
	05.45.Pq	(Numerical simulations of chaotic systems)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61171034) and the Zhejiang Provincial Natural Science Foundation of China (Grant No. R1110443).

Corresponding Authors: Wang Qiao
E-mail: qiao@zju.edu.cn

About author: 05.45.Gg; 05.45.Pq

Cite this article:

Wang Qiao (王乔), Ding Dong-Sheng (丁冬生), Qi Dong-Lian (齐冬莲) Mittag-Leffler synchronization of fractional-order uncertain chaotic systems 2015 Chin. Phys. B 24 060508

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