| Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control |
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| 引用本文： | 付士慧,陆启韶,杜莹.Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control[J].中国物理 B,2012,21(6):60507-060507. |
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| 作者姓名： | 付士慧 陆启韶 杜莹 |
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| 作者单位： | Department of Mathematics,Zhengzhou University;School of Aeronautics Science and Engineering,Beijing University of Aeronautics and Astronautics;School of Science,East China University of Science and Technology |
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| 摘 要： | Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated.The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach.Based on Lyapunov’s stability theory,linear and nonlinear feedback control of adaptive H∞ synchronization is established in order to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance on an H∞-norm constraint.Adaptive H∞ synchronization of chaotic systems via three kinds of control is investigated with applications to Lorenz and Chen systems.Numerical simulations are also given to identify theeffectiveness of the theoretical analysis.
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| 关 键 词： | chaotic system H∞ synchronization generalized Hamiltonian system Lyapunov’s stability theory adaptive synchronization Lorenz system Chen system |
| 收稿时间： | 2012-01-16 |
Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control |
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| Fu Shi-Hui,Lu Qi-Shao,Du Ying.Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control[J].Chinese Physics B,2012,21(6):60507-060507. |
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| Authors: | Fu Shi-Hui Lu Qi-Shao Du Ying |
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| Affiliation: | a. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China;b. School of Aeronautics Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;c. School of Science, East China University of Science and Technology, Shanghai 200237, China |
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| Abstract: | Adaptive H∞ synchronization of chaotic systems via linear and nonlinear feedback control is investigated. The chaotic systems are redesigned by using the generalized Hamiltonian systems and observer approach. Based on Lyapunov's stability theory, linear and nonlinear feedback control of adaptive H∞ synchronization is established in order to not only guarantee stable synchronization of both master and slave systems but also reduce the effect of external disturbance on an H∞-norm constraint. Adaptive H∞ synchronization of chaotic systems via three kinds of control is investigated with applications to Lorenz and Chen systems. Numerical simulations are also given to identify the effectiveness of the theoretical analysis. |
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| Keywords: | chaotic system Hec synchronization generalized Hamiltonian system Lyapunov＇s sta-bility theory adaptive synchronization Lorenz system Chen system |
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