Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

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

中国物理B ›› 2015, Vol. 24 ›› Issue (6): 60508-060508.doi: 10.1088/1674-1056/24/6/060508

Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

王乔, 丁冬生, 齐冬莲

College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

收稿日期:2014-11-19 修回日期:2014-12-28 出版日期:2015-06-05 发布日期:2015-06-05
基金资助:
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).

Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

Wang Qiao (王乔), Ding Dong-Sheng (丁冬生), Qi Dong-Lian (齐冬莲)

College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China

Received:2014-11-19 Revised:2014-12-28 Online:2015-06-05 Published:2015-06-05
Contact: Wang Qiao E-mail:qiao@zju.edu.cn
About author:05.45.Gg; 05.45.Pq
Supported by:
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).

摘要/Abstract

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.

关键词: chaos, synchronization, adaptive control, Mittag-Leffler stability

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.

Key words: chaos, synchronization, adaptive control, Mittag-Leffler stability

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

05.45.Pq (Numerical simulations of chaotic systems)

王乔, 丁冬生, 齐冬莲. Mittag-Leffler synchronization of fractional-order uncertain chaotic systems[J]. 中国物理B, 2015, 24(6): 60508-060508.

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[J]. Chin. Phys. B, 2015, 24(6): 60508-060508.

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Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

Mittag-Leffler synchronization of fractional-order uncertain chaotic systems

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