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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1002/humu.21291

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1573-269X

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Adaptive synchronization of chaotic systems with u

Authors: ShihYu Li ChengHsiung Yang ChinTeng Lin LiWei Ko TienTing Chiu
Publish Date: 2012/10/04
Volume: 70, Issue: 3, Pages: 2129-2143
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Abstract

In this paper a new effective approach—backstepping with Ge–Yao–Chen GYC partial region stability theory called BGYC in this article is proposed to applied to adaptive synchronization Backstepping design is a recursive procedure that combines the choice of a Lyapunov function with the design of a controller and it presents a systematic procedure for selecting a proper controller in chaos synchronization We further combine the systematic backstepping design and GYC partial region stability theory in this article Lyapunov function can be chosen as a simple linear homogeneous function of states and the controllers and the update laws of parameters shall be much simpler Further it also introduces less simulation error—the numerical simulation results show that the states errors and parametric errors approach to zero much more exactly and efficiently which are compared with the original one Two cases are presented in the simulation results to show the effectiveness and feasibility of our new strategyThis work was supported in part by the USTUCSD International Center of Excellence in Advanced Bioengineering sponsored by the Taiwan National Science Council IRiCE Program under Grant No NSC1002911I009101 This research was supported by the National Science Council Republic of China under Grant No NSC 992221E009019

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