| 四维超混沌Lorenz系统的有限时间同步研究 |
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| 引用本文： | 冯瑜,刘爱民. 四维超混沌Lorenz系统的有限时间同步研究[J]. 广西科学, 2015, 22(2): 220-224 |
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| 作者姓名： | 冯瑜 刘爱民 |
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| 作者单位： | 1. 玉林师范学院数学与信息科学学院，广西高校复杂系统优化与大数据处理重点实验室，广西玉林 537000
2. 玉林师范学院教育技术中心,广西玉林,537000 |
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| 基金项目： | 国家自然科学基金项目，玉林师范学院重点项目(2014YJZD01)资助。 |
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| 摘 要： | 基于Lyapunov稳定性理论,通过设计适当反馈控制器,实现了四维超混沌Lorenz系统在确定参数和不确定参数两种情况下的有限时间同步,并用数值模拟验证了理论分析的有效性.
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| 关 键 词： | 超混沌系统 Lyapunov稳定性理论 有限时间同步 |
| 收稿时间： | 2014-05-20 |
| 修稿时间： | 2014-06-09 |
Finite-time Synchronization of Hyperchaotic Lorenz Systems |
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| FENG Yu and LIU Ai-min. Finite-time Synchronization of Hyperchaotic Lorenz Systems[J]. Guangxi Sciences, 2015, 22(2): 220-224 |
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| Authors: | FENG Yu and LIU Ai-min |
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| Affiliation: | Guangxi Universities Key Lab of Complex System Optimization and Big Data Processing, School of Mathematics and Information Science, Yulin Normal University, Yulin, Guangxi, 537000, China and Education Technology Center, Yulin Normal University, Yulin, Guangxi, 537000, China |
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| Abstract: | In this paper, the finite-time synchronization of hyperchaotic Lorenz system is studied.Based on the Lyapunov stability theory, it is proved that finite-time synchronization for hyperchaotic Lorenz systems with certain or uncertain parameters can be achieved with some suitable controllers.Numerical simulations and circuit implementation are taken to illustrate that the theoretical analysis here is effective. |
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| Keywords: | hyperchaotic Lorenz system Lyapunov stability theory finite-time synchronization |
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