Chaos control and function projective synchronization of fractional-order systems through the backstepping method

被引：0
|
作者：
S. Das
V. K. Yadav
机构：
[1] Indian Institute of Technology (Banaras Hindu University),Department of Mathematical Sciences
来源：
Theoretical and Mathematical Physics | 2016年 / 189卷
关键词：
fractional derivative; chaotic T-system; Lorenz system; backstepping method; feedback control method; Lyapunov stability theory; synchronization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the chaos control and the function projective synchronization of a fractional-order T-system and Lorenz chaotic system using the backstepping method. Based on stability theory, we consider the condition for the local stability of nonlinear three-dimensional commensurate fractional-order system. Using the feedback control method, we control the chaos in the considered fractional-order T-system. We simulate the function projective synchronization between the fractional-order T-system and Lorenz system numerically using MATLAB and depict the results with plots.
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页码：1430 / 1439
页数：9
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