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

胡建兵; 韩焱; 赵灵冬

doi:10.3321/j.issn:1000-3290.2009.04.018

物理学报

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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胡建兵, 韩焱, 赵灵冬. 2009: 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, 物理学报, 58(4): 2235-2239. doi: 10.3321/j.issn:1000-3290.2009.04.018

引用本文:

Hu Jian-Bing, Han Yan, Zhao Ling-Dong. 2009: A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach, Acta Physica Sinica, 58(4): 2235-2239. doi: 10.3321/j.issn:1000-3290.2009.04.018

Citation:

Hu Jian-Bing, Han Yan, Zhao Ling-Dong. 2009: A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach, Acta Physica Sinica, 58(4): 2235-2239. doi: 10.3321/j.issn:1000-3290.2009.04.018

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

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

A novel stablility theorem for fractional systems and its applying in synchronizing fractional chaotic system based on back-stepping approach

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.
- 分数阶 /
- 同步 /
- back-stepping方法 /
- Newton-Leipnik