一类混沌系统的分数阶广义同步 |
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引用本文: | 张隆阁. 一类混沌系统的分数阶广义同步[J]. 自动化博览, 2009, 26(7): 74-76 |
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作者姓名: | 张隆阁 |
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作者单位: | 华北电力大学数理学院,河北,保定,071003 |
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基金项目: | 华北电力大学青年基金 |
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摘 要: | 针对一类参数未知的混沌系统,基于分数阶微积分和Lyapunov稳定性理论,设计出了一族分数阶广义同步控制器,此族控制器可通过选择不同分数阶次得到不同的控制效果,并且都能保证闭环混沌系统达到渐近广义同步.数值试验验证了此方法的有效性。
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关 键 词: | 广义混沌同步 分数阶微积分 Lyapunov稳定性 |
Fractional Generalized Synchronization for a Class of Chaotic Systems |
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Abstract: | Based on fractional calculus and Lyapunov stability theory, a sort of fractional generalized synchronization is designed for a class of chaostic systems. Different control effect and the stability of the closed chaotic system can be obtained by selecting different fractional order. Numerical simulations show the effectiveness of the method. |
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Keywords: | Generalized chaotic synchronization fractional calculus Lyapunov stability |
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