| 有不确定参数和扰动的Filippov系统的混沌同步 |
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| 引用本文： | 付士慧,陆启韶,裴利军.有不确定参数和扰动的Filippov系统的混沌同步[J].中国科学(G辑),2013(4):459-466. |
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| 作者姓名： | 付士慧 陆启韶 裴利军 |
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| 作者单位： | [1]郑州大学数学系,郑州450001 [2]北京航空航天大学航空科学与工程学院,北京100083 |
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| 基金项目： | 国家自然科学基金资助项目（批准号：U1204106,10872014,10702065） |
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| 摘 要： | 摘要本文研究具有不确定参数和扰动的Filippov系统的混沌同步问题．首先通过广义哈密顿系统和观测器的方法重新设计了Filippov系统，消除了非光滑项，得到光滑的误差系统，进而利用Lyapunov稳定性理论研究了该光滑误差系统的稳定性，给出混沌系统达到同步的条件．最后将该方法应用到Chua电路和带干摩擦的Duffing振子，理论分析和数值结果一致．
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| 关 键 词： | Filippov系统 混沌同步 广义哈密顿系统 Chua电路 Duffing振子 |
Chaotic synchronization of Filippov systems with unknown parameters and external disturbance |
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| Authors: | FU ShiHui LU QiShao ＆ PEI LiJun |
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| Institution: | 1 Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China; 2 School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China) |
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| Abstract: | In the paper, chaotic synchronization of Filippov systems with unknown parameters and external disturbance is investigated. At first, we redesign Filippov systems by the generalized Hamiltonian system and observer approach to eliminate the non-smooth portion, and smooth error systems are obtained; Then, we apply Lyapunov stability theory to error systems, stabilize their zero solution and give synchronization conditions; Finally, we apply the method to Chua＇s system, and the Duffing Oscillator with dry friction and the numerical simulation shows the effectiveness of the theoretical analysis. |
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| Keywords: | Filippov system chaotic synchronization generalized Hamiltonian system Chua＇s system Duffing Oscillator |
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