| 一种新的分数阶系统稳定理论及在back-stepping方法同步分数阶混沌系统中的应用 |
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| 引用本文： | 胡建兵,韩焱,赵灵冬.一种新的分数阶系统稳定理论及在back-stepping方法同步分数阶混沌系统中的应用[J].物理学报,2009,58(4):2235-2239. |
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| 作者姓名： | 胡建兵 韩焱 赵灵冬 |
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| 作者单位： | 中北大学电子测试技术国家重点实验室,仪器科学与动态测试教育部重点实验室,太原 030051 |
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| 基金项目： | 国家自然科学基金（批准号： 60372073）资助的课题. |
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| 摘 要： | 对阶次小于1的分数阶系统的稳定问题，提出了一种新的判据.基于该理论，将back-stepping方法拓展到分数阶系统中并设计控制器实现了分数阶Newton-Leipnik混沌系统的同步.数值仿真验证了稳定性理论的准确性及控制器设计方法的有效性.
关键词：
分数阶
同步
back-stepping方法
Newton-Leipnik
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| 关 键 词： | 分数阶 同步 back-stepping方法 Newton-Leipnik |
| 收稿时间： | 2008-07-26 |
A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach |
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| Hu Jian-Bing,Han Yan,Zhao Ling-Dong.A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach[J].Acta Physica Sinica,2009,58(4):2235-2239. |
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| Authors: | Hu Jian-Bing Han Yan Zhao Ling-Dong |
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| Abstract: | A stablility theorem is proposed for fractional systems whose order is not greater than 1. Based on this theorem, back-stepping approach for designing controller is extended to fractional order chaotic system. And the fractional order Newton-Leipnik chaotic system is synchronized based on the extended backstepping approach. Numerical simulation certifies effectiveness of the method. |
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| Keywords: | Newton-Leipnik |
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