| Yang—Chen系统的全局指数吸引集及其在混沌控制中的应用 |
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| 引用本文： | 鞠培军,彭岩,张卫,田力,刘国彩,孔宪明.Yang—Chen系统的全局指数吸引集及其在混沌控制中的应用[J].山东大学学报(自然科学版),2012(7):85-90. |
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| 作者姓名： | 鞠培军 彭岩 张卫 田力 刘国彩 孔宪明 |
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| 作者单位： | [1]泰山学院数学与系统科学学院,山东泰安271021 [2]泰山职业技术学院基础部数学组,山东泰安271000 |
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| 基金项目： | 山东省自然科学基金资助项目（ZR2011AQ022）;山东省高校科研发展计划项目（J10LA51,J11LA51） |
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| 摘 要： | 通过线性变换和构造广义Lyapunov函数，得出全局指数吸引集估计的新方法，并给出了最终界的精确估计式。将结果应用到Yang—Chen系统的混沌控制问题，给出了一种使系统指数稳定的具有更少保守性的反馈控制律。
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| 关 键 词： | Yang—Chen系统 全局指数吸引集 广义Lyapunov函数 |
Globally exponentially attractive set of Yang-Chen system and its applications to chaos control |
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| JU Pei-jun,PENG Yan,ZHANG Wei,TIAN Li,LIU Guo-cai,KONG Xian-ming.Globally exponentially attractive set of Yang-Chen system and its applications to chaos control[J].Journal of Shandong University(Natural Science Edition),2012(7):85-90. |
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| Authors: | JU Pei-jun PENG Yan ZHANG Wei TIAN Li LIU Guo-cai KONG Xian-ming |
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| Institution: | 1. Department of Mathematics and System Science, Taishan University, Tai＇an 271021, Shandong, China; 2. Mathematical Section, Department of Fundamental Courses, Taishan Vocational Technology Institute, Tai＇an 271000, Shandong, China) |
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| Abstract: | By constructing a linear transformation and a family of generalized Lyapunov functions, a new method was proposed to obtain globally exponentially attractive sets of Yang-Chen system. And the explicit estimations of the ultimate bounds were derived. In conclusion, this result was applied to the global exponential stability for the chaos control of the Yang-Chen system, and the control was presented by using a less conservative feedback control law. |
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| Keywords: | Yang-Chen system global exponentially attractive set generalized Lypunov function |
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