| 一个新自治系统的混沌控制和同步 |
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| 引用本文： | 郭丽峰,张建刚,褚衍东,江浩. 一个新自治系统的混沌控制和同步[J]. 山西师范大学学报：自然科学版, 2009, 23(1): 61-65 |
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| 作者姓名： | 郭丽峰 张建刚 褚衍东 江浩 |
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| 作者单位： | 兰州交通大学数理与软件工程学院,甘肃,兰州,730070 |
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| 摘 要： | 针对一个新三维混沌自治系统，研究了该混沌系统的控制和同步问题．利用线性负反馈法和Routh-Hurwitz稳定性条件，获得达到控制目标时负反馈系数所满足的条件，并借助Matlab对受控系统进行数值模拟，仿真结果验证了该方法的有效性；设计了实现其同步的一种非线性控制器．利用李雅普诺夫稳定性定理，证明了同步误差系统是全局渐近稳定的．Matlab数值仿真结果表明所设计的非线性控制器能有效地实现混沌同步．
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| 关 键 词： | 混沌系统 线性负反馈法 混沌控制 李雅普诺夫稳定性定理 混沌同步 |
Controlling Chaos and Chaotic Synchronization in a New Autonomous Chaotic System |
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| GUO Li-feng,ZHANG Jian-gang,CHU Yan-dong,Jiang Hao. Controlling Chaos and Chaotic Synchronization in a New Autonomous Chaotic System[J]. Journal of Shanxi Teachers University, 2009, 23(1): 61-65 |
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| Authors: | GUO Li-feng ZHANG Jian-gang CHU Yan-dong Jiang Hao |
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| Affiliation: | School of Mathematics;Physics and Software Engineering;Lanzhou Jiaotong University;Lanzhou 730070;Gansu;China |
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| Abstract: | In this paper we present the controlling chaos and chaotic synchronization in a new autonomous chaotic system.A linear feedback method is used to suppress chaos to unstable equilibrium.The Routh-Hurwitz criterion is applied to study the conditions of the asymptotic stability of the controlled chaotic system.Numerical simulations by Matlab are provided to demonstrate the effectiveness of this method.A kind of nonlinear controllers are designed to realize the synchronization.By means of Lyapunov stability the... |
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| Keywords: | chaotic system linear feedback method controlling chaos Lyapunov stability theorem chaotic synchronization |
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