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Communications in Theoretical Physics 2011年第5期55卷 822-828页

作者：冯存芳汪映海 College of Science Wuhan Textile University Institute of Theoretical Physics Lanzhou University

We study different types of projective synchronization （projective-anticipating, projective, and projectivelag synchronization） in a class of time-delayed chaotic systems related to optical bistable or hybrid optical bistable devices. We relax some limitations of previous work, where the scaling factor a can not be any desired value. In this paper, we achieve projective-anticipating, projective, and projective-lag synchronization without the limitation of a. A suitable controller is chosen using active control approach. Based on the Lyapunov stability theory, we derive the sufficient stability condition through theoretical analysis. The analytical results are validated by the numerical simulations using Ikeda model and Mackey-Glass model.

关键词： projective-anticipating synchronization projective synchronization projective-lag synchronization time-delay chaotic system active control

A general method for modified function projective synchronization

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Journal of Harbin Institute of Technology(New Series) 2010年第4期17卷 451-455页

作者：杜洪越曾庆双李锋袁得春 Space Control and Inertial Technology Research Center Harbin Institute of Technology Beijing Capital International Airport Company Limited Information Technology Department College of Electromechanical Engineering Northeast Forestry University

This paper investigates the modified function projective synchronization,which means that the drive system and the response system are synchronized up to a desired scale matrix of function. By the active control scheme,a general method for modified function projective synchronization is proposed. Numerical simulations on chaotic Rssler system and hyper-chaotic Chen system are presented to verify the effectiveness of the proposed scheme.

关键词： chaos synchronization active control modified function projective synchronization projective synchronization

The Analysis of projective synchronization for two Dynamical Gyros

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The Analysis of Projective Synchronization for two Dynamical...

第25届中国控制与决策会议

作者： Fuhong Min Shuyi Shao Enrong Wang Xuehong Wu School of Electric and Automation Engineering Nanjing Normal University

ISBN: (纸本)9781467355339

In this paper, the projective synchronization for two gyros with different motions is investigated based on a discontinuous feedback contoller. From the theory of discontinuous dynamical systems, the analytical conditions of such synchronization are developed, and the synchronization invariant domain is also presented. The full synchronizations for a noised chaotic gyro with an expected period-5 motion are presented to demonstrate the feasibility of the proposed method.

关键词： projective synchronization Gyros Discontinuous dynamical systems Full synchronization

Controlling projective synchronization coupled chaotic systems

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Chinese Physics B 2006年第9期15卷 1965-1970页

作者：邹艳丽朱杰 Department of Electronic Engineering Shanghai Jiaotong University Shanghai 200240 China

In this paper, a new method for controlling projective synchronization in coupled chaotic systems is presented. The control method is based on a partially linear decomposition and negative feedback of state errors. Firstly, the synchronizability of the proposed projective synchronization control method is proved mathematically. Then, three different representative examples are discussed to verify the correctness and effectiveness of the proposed control method.

关键词： chaos chaos synchronization projective synchronization

projective synchronization problem of a new 6D hyper-chaotic system

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Projective synchronization problem of a new 6D hyper-chaotic...

第40届中国控制会议

作者： Yanping Li Jingru Qin Sheng Zheng Li Maoxin Chen Rongwei Guo Zhen Dong School of Mathematics and Statistics Qilu University of Technology (Shandong Academy of Sciences) School of Mathematics and Statistics Guizhou University

In this paper, we investigate the projective synchronization problem of a new 6D hyper-chaotic system. Firstly, we find a non-singular transformation by which the 6D hyper-chaotic system can be divided into two subsystems, and prove the existence of such problem. Secondly, we propose two controllers, one is the dynamic feedback controller, the other is the linear feedback controller, and then realize the projective synchronization problem of this new 6D hyper-chaotic system. Finally, numerical simulations are done to verify the correctness and effectiveness of the proposed results.

关键词： projective synchronization Existence Hyper-chaotic system Non-singular transformation Dynamic feedback control

projective synchronization of variable-order fractional-order chaotic systems using UDE-based approach

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Projective synchronization of variable-order fractional-orde...

第43届中国控制会议

作者： Runlong Peng Rongwei Guo Bin Zheng Lan Xiang Jin Zhou Shanghai Institute of Applied Mathematics and Mechanics Shanghai University School of Mathematics and Statistics Qilu University of Technology(Shandong Academy of Sciences) Department of Physics School of Science Shanghai University

ISBN: (数字)9789887581581

ISBN: (纸本)9798350366907

This paper focuses on the projective synchronization problem of variable-order fractional-order chaotic systems(VOFOCSs) using an uncertainty and disturbance estimator(UDE)-based approach. A linear feedback-like control method is firstly designed for nominal VOFOCSs, and then combined with the UDE-based controller to achieve the projective synchronization of VOFOCSs with uncertainty and disturbance. Finally, the accuracy and effectiveness of the proposed method are verified by numerical examples.

关键词： Variable-order fractional-order chaotic systems(VOFOCSs) projective synchronization UDE-based

projective synchronization of complex delayed dynamical network via hybrid feedback control

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Projective synchronization of complex delayed dynamical netw...

2009中国控制与决策会议

作者： Wenlin Li,Jing Miao,Zhenhong Liu College of Mathematics and Information Science,He'nan Normal University,Xinxiang 453007,China

This Letter introduces hybrid feedback control scheme to design controller for the synchronization of complex delayed dynamical *** on Lyapunov stability theory,hybrid feedback controller and synchronization criteria are *** with the existing results,our synchronization strategy is still useful when the existing synchronization methods become ***,it is very convenient to *** example of the complex dynamical network is finally used to verify the proposed theoretical result.

关键词： Complex delayed dynamical networks Lyapimov stability theory projective synchronization

Adaptive projective synchronization of unified chaotic systems and its application to secure communication

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Chinese Physics B 2007年第11期16卷 3231-3237页

作者：胡满峰徐振源 School of Science Southern Yangtze UniversityWuxi214122China School of Information Technology Southern Yangtze University Wuxi214122China

In this paper, a simple adaptive linear feedback control method is proposed for controlling the scaling factor between two coupled unified chaotic systems to a desired value, based on the invarianee principle of differential equations. Under this control strategy, one can arbitrarily select the scaling factor. Numerical simulations are given to support the effectiveness of the proposed method and show the robustness against noise. Furthermore, a secure communication scheme based on the adaptive projective synchronization of unified chaotic systems is presented and numerical simulation shows its feasibility.

关键词： projective synchronization adaptive control unified chaotic system,secure communication

projective synchronization in Coupled Integer and Fractional Order Liu-Chen Chaotic Systems

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Projective Synchronization in Coupled Integer and Fractional...

2009中国控制与决策会议

作者： Xing Lifen~1,Liu Jie~(1,2),Li Xinjie~1,Dong Pengzhen~1 1.Research Centre of Nonlinear Science,Wuhan University of Science and Engineering,Wuhan,430073,P.R.China. 2.College of Science,Wuhan University of Science and Engineering,Wuhan,430073,P.R.China.

In this brief paper,projective synchronization(projective Syn.) in coupled integer-order and fractional-order chaotic systems are both *** the case of driving coupled integer-order chaotic systems,theoretical analysis is carried out directly based on the Lyapunov stability *** the case of coupled fractional order chaotic system,we took a modified approximate method to obtain an equivalent integer order model for the fractional order chaotic system, which is much accurater than traditional approximation methods mentioned in *** on theoretical analysis, the mechanism of the occurrence of projective synchronization in coupled the fractional order chaotic systems is deduced in ***,a simple controller for adjusting the scaling factor of projective synchronization is designed,which can lead the states' evolution to desired *** state error feedback controller is easily fulfilled in *** experiments are also given to show the rightness of the theoretical analysis and the effectiveness of our proposed method by taking the newly proposed Liu-Chen system as an illustration.

关键词： Chaotic system projective synchronization Scaling factor Fractional chaotic system

projective synchronization in a new 5D hyper-chaotic system

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Projective synchronization in a new 5D hyper-chaotic system

第40届中国控制会议

作者： Xiaofeng Yi Yanping Li Laijun Zhong Yaping Hu Rongwei Guo Jin Zhou Shanghai Institute of Applied Mathematics and Mechanics Shanghai University School of Mathematics and Statistics Qilu University of Technology(Shandong Academy of Sciences)

This paper investigates the projective synchronization problem in a new 5D hyper-chaotic system. Firstly, the existence of projective synchronization problem for such system is proven. Moreover, a non-singular transformation is found and used to divide the 5D hyper-chaotic system into two subsystems. Secondly, two controllers are proposed by using the dynamic feedback control method and the linear feedback control method. Finally, numerical simulations are carried out to verify the correctness and effectiveness of the proposed results.

关键词： projective synchronization Existence Non-singular transformation,Dynamic feedback control