| 引用本文: | 魏周超.Panchev系统的全局指数吸引集及其应用[J].控制理论与应用,2013,30(1):84~88.[点击复制] |
| WEI Zhou-chao.Global exponential sets of Panchev system and its application[J].Control Theory and Technology,2013,30(1):84~88.[点击复制] |
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| Panchev系统的全局指数吸引集及其应用 |
| Global exponential sets of Panchev system and its application |
| 摘要点击 2815 全文点击 1765 投稿时间：2012-03-31 修订日期：2012-07-07 |
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| DOI编号 10.7641/CTA.2013.20306 |
| 2013,30(1):84-88 |
| 中文关键词 Panchev系统 全局指数吸引集 正向不变集 混沌同步 |
| 英文关键词 Panchev system globally exponentially attractive set positively invariant set chaotic synchronization |
| 基金项目 国家重点基础研究发展计划“973”课题(2011CB710602, 2011CB710604); 国家自然科学基金数学天元基金资助项目(11226149); 中国地质大学(武汉)中央高校基本科研业务费专项资金资助项目(CUG120827). |
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| 中文摘要 |
| 通过构造广义正定径向无界的Lyapunov函数, 研究了一个包含三维Lorenz系统在内的Panchev系统的全局指数吸引集和正向不变集, 得到了三维圆柱估计, 并用数值仿真验证了三维圆柱估计式的有效性. 然后利用一个非线性控制器将得到的全局指数吸引集的结果应用到混沌同步中, 研究了该系统的全局指数同步问题. |
| 英文摘要 |
| Constructing a positive definite and radial unbounded Lyapunov function, we obtain the global exponential attractive set and the positive invariant set of Panchev system containing a 3-dimensional Lorenz system. On this basis, we obtain the 3-dimensional cylindrical ultimate bound which is validated numerically. Finally, the global exponential attractive set obtained from a nonlinear controller is applied to the synchronization of a chaotic system, and its global exponential synchronization problem is investigated. |