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含有平方项的新混沌系统的研究及控制
引用本文:张莉,俞建宁,李阳,彭建奎.含有平方项的新混沌系统的研究及控制[J].兰州铁道学院学报,2007,26(3):154-157.
作者姓名:张莉  俞建宁  李阳  彭建奎
作者单位:兰州交通大学数理与软件工程学院,甘肃兰州730070
摘    要:在Lorenz系统及Liu系统的基础上,提出了一个新的三维连续自治系统,简述了该系统的基本动力学特征,根据Routh-Hurwitz准则,重点讨论了系统平衡点的稳定性.采用线性状态反馈控制证明了达到预期控制目标反馈控制参数的选取范围,数值仿真证明了该方法的有效性.

关 键 词:新混沌系统  Routh-Hurwitz准则  混沌控制  线性状态反馈控制
文章编号:1001-4373(2007)03-0154-04
修稿时间:2006-11-14

Research and Control of New Chaotic System with Square Term
Zhang Li,Yu Jianning,Li Yang,Peng Jiankui.Research and Control of New Chaotic System with Square Term[J].Journal of Lanzhou Railway University,2007,26(3):154-157.
Authors:Zhang Li  Yu Jianning  Li Yang  Peng Jiankui
Institution:School of Mathematics,Physics and Software Engineering, Lanzhou Jiaotong University, Lanzhou 730070,China
Abstract:Based on the system of Lorenz and Liu, a new chaotic system is investigated. The system basic dynamic behaviors are introduced. By applying the Routh-Hurwitz criterion, the problem of the stability of equilibrium points is discussed. The choice principle of feedback coefficients to attain control objective is proved strictly .by combining the linear state feedback method. Numerical simulation results show that the method is effective.
Keywords:new chaotic system  Routh-Hurwitz criterion  chaos control  linear state feedback control
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