| 分数阶双指数混沌系统的自适应滑模同步 |
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| 引用本文： | 刘敬怀,毛北行.分数阶双指数混沌系统的自适应滑模同步[J].数学的实践与认识,2020(7):198-203. |
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| 作者姓名： | 刘敬怀 毛北行 |
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| 作者单位： | 郑州航空工业管理学院数学学院 |
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| 基金项目： | 国家自然科学基金(11226337,51401182);航空科学基金(2017ZD55014);河南省高校重点科研项目(16A110024)资助的课题。 |
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| 摘 要： | 研究了分数阶双指数混沌系统的自适应滑模同步问题.通过设计滑模函数和控制器,构造了平方Lyapunov函数进行稳定性分析.利用Barbalat引理证明了同步误差渐近趋于零,获得了系统取得自适应滑模同步的充分条件.数值仿真结果表明:选取适当的控制器及与滑模函数,分数阶双指数混沌系统取得自适应滑模同步.
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| 关 键 词： | 混沌同步 分数阶 双指数混沌系统 自适应 |
Self-adaptive Sliding Mode Synchronization of Fractional Order Dual-Exponential Chaotic System |
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| LIU Jing-huai,MAO Bei-xing.Self-adaptive Sliding Mode Synchronization of Fractional Order Dual-Exponential Chaotic System[J].Mathematics in Practice and Theory,2020(7):198-203. |
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| Authors: | LIU Jing-huai MAO Bei-xing |
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| Institution: | (Collge of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China) |
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| Abstract: | The problem of self-adaptive sliding mode synchronization control of fractionalorder dual-exponential chaotic systems are studied.The sliding mode function and controller are designed.The system stability is analyzed by constructing a quadratic Lyapunov function.Based on Barbalat lemma,it is proved that the synchronization error tends to zero asymptotically,and the sufficient conditions are arrived for dual-exponential chaotic systems acquire self-adaptive sliding mode synchronization.The research conclusion illustrated the master-slave systems of fractional-order dual-exponential chaotic systems are adaptive sliding mode synchronization if chose proper controller and sliding mode function. |
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| Keywords: | chaos synchronization fractional-order dual-exponential chaotic systems selfadaptive |
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