| 不同超混沌系统的最优同步 |
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| 引用本文： | 张学兵,朱红兰,陈业勤.不同超混沌系统的最优同步[J].数学的实践与认识,2011,41(24). |
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| 作者姓名： | 张学兵 朱红兰 陈业勤 |
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| 作者单位： | 1. 淮安信息职业技术学院基础部,江苏 淮安,223003
2. 淮阴工学院数理学院,江苏 淮安,223003 |
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| 摘 要： | 在参数未知的情况下,通过设计最优控制器和参数自适应律实现了新的四维混沌系统与超混沌吕系统的同步.接着根据Lyapunov稳定性原理和Hamilton-Jacobi-Bellman方程,选取Lyapunov函数和合适的性能指标函数从理论上证明这种方法的有效性.理论证明结果表明所设计的控制器能使性能指标函数取得最小值,是最优的.最后又通过matlab软件对同步系统进行数值仿真,仿真结果显示驱动系统与响应系统能够很好地达到了同步,表明方法是可行有效的.
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| 关 键 词： | 超混沌 同步 最优化 自适应 |
Optimal Synchronization of Different Hyperchaotic Systems |
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| ZHANG Xue-Bing
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ZHU Hong-Lan
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CHEN Ye-qin.Optimal Synchronization of Different Hyperchaotic Systems[J].Mathematics in Practice and Theory,2011,41(24). |
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| Authors: | ZHANG Xue-Bing ZHU Hong-Lan CHEN Ye-qin |
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| Institution: | ZHANG Xue-Bing~1,ZHU Hong-Lan~2,CHEN Ye-qin~1 (1.Department of Basic Course,Huaian college of information Technology,Huaian 223003,China) (2.Faculty of Science Mathematics and Physics,Huaiyin Institute of Technology,China) |
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| Abstract: | In this paper the synchronization between a new four-dimensional chaotic system and hyperchaotic Lü system is achieved with fully unknown parameters through design optimal controller and parameters updating rule.It is proved that the validity of this synchronous method theoretically is feasible by Lyapunov method and Hamilton-Jacobi-Bellman equation.Finally,a simulation is conducted with Matlab to prove the synchronized of two different chaotic systems.Simulation results show that this method is efficient. |
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| Keywords: | hyperchaotic synchronization optimal adaptive |
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