Phase and anti-phase synchronizations of fractional order hyperchaotic systems with uncertainties and external disturbances using nonlinear active control method

被引：0
作者：
Yadav V.K. [1 ]
Agrawal S.K. [2 ]
Srivastava M. [1 ]
Das S. [1 ]
机构：
[1] Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi
[2] Department of Applied Sciences, Bharati Vidyapeeth’s College of Engineering, Delhi
来源：
International Journal of Dynamics and Control | 2017年 / 5卷 / 02期
关键词：
Antiphase-synchronization; Fractional derivative; Hyperchaotic systems; Lyapunov stability; Nonlinear active control method; Phase-synchronization; Synchronization;
D O I：
10.1007/s40435-015-0186-x
中图分类号：
学科分类号：
摘要：
In this paper, the phase and anti-phase synchronizations between fractional order hyperchaotic Lu and 4D integral order systems with parametric uncertainties and disturbances are studied using nonlinear active control method. A new lemma is used to design the controller. Numerical simulations are presented to demonstrate the effectiveness of the method to synchronize and anti-synchronize the fractional order hyperchaotic systems. The striking feature of the article is the comparison of time of synchronization and anti-synchronization with and without the presence of uncertainties and external disturbances through graphical presentations for different particular cases. © 2015, Springer-Verlag Berlin Heidelberg.
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页码：259 / 268
页数：9
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