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35th Chinese Control Conference (CCC)

作者： Tian, Xiaomin Yang, Zhong Fei, Shumin JinLing Inst Technol Sch Intelligence Sci & Control Engn Nanjing 211169 Jiangsu Peoples R China Southeast Univ Sch Automat Minist Educ Key Lab Measurement & Control CSE Nanjing 210096 Jiangsu Peoples R China

ISBN: (纸本)9789881563910

In this paper, the complex modified projective synchronization (CMPS) of two different fractional-order chaotic complex systems is firstly investigated. We assume that the slave system is perturbed by external disturbances. The master and slave systems achieved CMPS can be synchronized up to a complex scaling matrix. On the basis of a novel stability theory, a robust control law is designed to realize the CMPS for two different fractional-order chaotic complex systems. The CMPS can be regarded as the generalization of several types of synchronization reported in existing literatures. Simulation results are given to verify the effectiveness and feasibility of the proposed synchronization scheme.

关键词： complex modified projective synchronization Fractional-order chaotic complex system External disturbances Chaos control

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Adaptive complex modified projective synchronization of Two Fractional-order complex-variable Chaotic Systems with Unknown Parameters

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ENGINEERING LETTERS 2017年第4期25卷 438-445页

作者： Tian, Xiaomin Yang, Zhong Jinling Inst Technol Inst Intelligence Sci & Control Engn Nanjing 211169 Jiangsu Peoples R China

In this paper, the complex modified projective synchronization (CMPS) of two different fractional-order chaotic complex systems with unknown parameters is firstly investigated. We assume that the slave system is perturbed by external disturbances. The master and slave systems achieved CMPS can be synchronized up to a complex scaling matrix. On the basis of a novel stability theory, a robust adaptive control law is designed to realize the CMPS for two different fractional-order chaotic complex systems. Meanwhile, to deal with these unknown parameters, some fractional-order type update laws are provided. The CMPS can be regarded as the generalization of several types of synchronization reported in existing literatures. Simulation results are given to verify the effectiveness and feasibility of the proposed synchronization scheme.

关键词： complex modified projective synchronization Fractional-order chaotic complex system Adaptive control Fractional-order type update law

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complex modified projective synchronization of Two Fractional-order complex-variable Chaotic Systems

Complex Modified Projective Synchronization of Two Fractiona...

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第35届中国控制会议

作者： Xiaomin Tian Zhong Yang Shumin Fei School of Intelligence Science and Control Engineering Jin Ling Institute of Technology Key Laboratory of Measurement and Control of CSE Ministry of Education School of AutomationSoutheast University

In this paper, the complex modified projective synchronization(CMPS) of two different fractional-order chaotic complex systems is firstly investigated. We assume that the slave system is perturbed by external disturbances. The master and slave systems achieved CMPS can be synchronized up to a complex scaling matrix. On the basis of a novel stability theory, a robust control law is designed to realize the CMPS for two different fractional-order chaotic complex systems. The CMPS can be regarded as the generalization of several types of synchronization reported in existing literatures. Simulation results are given to verify the effectiveness and feasibility of the proposed synchronization scheme.

关键词： complex modified projective synchronization Fractional-order chaotic complex system External disturbances Chaos control

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complex modified projective synchronization of two chaotic complex nonlinear systems

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NONLINEAR DYNAMICS 2013年第4期73卷 2231-2240页

作者： Mahmoud, Gamal M. Mahmoud, Emad E. Taibah Univ Dept Math Fac Sci Al Madeenah Al Munawwarah Saudi Arabia Sohag Univ Fac Sci Dept Math Sohag 82524 Egypt Taif Univ Coll Appl Med Sci Turabah Saudi Arabia

In this paper, we present a novel type of synchronization called complex modified projective synchronization (CMPS) and study it to a system of two chaotic complex nonlinear 3-dimensional flows, possessing chaotic attractors. Based on the Lyapunov function approach, a scheme is designed to achieve CMPS for such pairs of (either identical or different) complex systems. Analytical expressions for the complex control functions are derived using this scheme to achieve CMPS. This type of complex synchronization is considered as a generalization of several kinds of synchronization that have appeared in the recent literature. The master and slave chaotic complex systems achieved CMPS can be synchronized through the use of a complex scale matrix. The effectiveness of the obtained results is illustrated by a studying two examples of such coupled chaotic attractors in the complex domain. Numerical results are plotted to show the rapid convergence of modulus errors to zero, thus demonstrating that CMPS is efficiently achieved.

关键词： complex modified projective synchronization Chaotic attractor Lyapunov function complex nonlinear dynamical systems

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