| 分数阶系统有限时间稳定性理论及分数阶超混沌Lorenz系统有限时间同步 |
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| 引用本文： | 赵灵冬,胡建兵,包志华,章国安,徐晨,张士兵. 分数阶系统有限时间稳定性理论及分数阶超混沌Lorenz系统有限时间同步[J]. 物理学报, 2011, 60(10): 100507-100507. DOI: 10.7498/aps.60.100507 |
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| 作者姓名： | 赵灵冬 胡建兵 包志华 章国安 徐晨 张士兵 |
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| 作者单位： | 南通大学电子信息学院,南通 226019 |
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| 基金项目： | 国家自然科学基金(批准号: 50875132)和南通大学自然科学基金(批准号: 10Z021)资助的课题. |
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| 摘 要： | 研究了分数阶系统有限时间稳定性理论及分数阶混沌系统的同步问题.根据分数阶微分性质及分数阶系统稳定性理论,建立了分数阶系统有限时间稳定性理论并进行了证明.根据该理论设计控制器实现了分数阶超混沌Lorenz系统有限时间同步并运用数值仿真进行了验证.关键词：分数阶超混沌Lorenz系统稳定有限时间同步
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| 关 键 词： | 分数阶 超混沌Lorenz系统 稳定 有限时间同步 |
| 收稿时间： | 2011-03-18 |
A finite-time stable theorem about fractional systems and finite-time synchronizing fractional super chaotic Lorenz systems |
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| Zhao Ling-Dong,Hu Jian-Bing,Bao Zhi-Hu,Zhang Guo-An,Xu Chen and Zhang Shi-Bing. A finite-time stable theorem about fractional systems and finite-time synchronizing fractional super chaotic Lorenz systems[J]. Acta Physica Sinica, 2011, 60(10): 100507-100507. DOI: 10.7498/aps.60.100507 |
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| Authors: | Zhao Ling-Dong Hu Jian-Bing Bao Zhi-Hu Zhang Guo-An Xu Chen Zhang Shi-Bing |
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| Affiliation: | School of Electronics & Information, Nantong University, Nantong 226019, China;School of Electronics & Information, Nantong University, Nantong 226019, China;School of Electronics & Information, Nantong University, Nantong 226019, China;School of Electronics & Information, Nantong University, Nantong 226019, China;School of Electronics & Information, Nantong University, Nantong 226019, China;School of Electronics & Information, Nantong University, Nantong 226019, China |
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| Abstract: | Finite-time stable theorem about fractional system and finite-time synchronizing fractional chaotic system are studied in this paper. A finite-time stable theorem is proposed and proved according to the properties of fractional equation. Using this theorem, fractional super chaotic Lorenz systems is synchronized in finite-time. Numerical simulation certifies the effectiveness of the theorem proposed in this paper. |
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| Keywords: | fractional super chaotic Lorenz system stable finite-time synchronizing |
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