| 分数阶jerk系统的混沌控制(英文) |
| |
| 引用本文： | 王燕致,张春蕊.分数阶jerk系统的混沌控制(英文)[J].黑龙江大学自然科学学报,2012,29(2):196-203. |
| |
| 作者姓名： | 王燕致 张春蕊 |
| |
| 作者单位： | 东北林业大学数学系,哈尔滨,150040 |
| |
| 基金项目： | Supported by the National Natural Science Foundations of China(10771045,10871056);the Northeast Forestry University Graduate Thesis Funded Projects(Gram09) |
| |
| 摘 要： | 一个分数阶jerk模型被引入。基于量化理论证明一类分数阶jerk系统解的存在和唯一性,通过分数阶的霍尔维斯判据及混沌存在的必要条件,计算出一致系统与非一致系统混沌存在的最小分数阶阶数。运用反馈控制的方法实现分数阶JERK的混沌控制,数值仿真例子说明获得的结果是有效的。
|
| 关 键 词： | 分数阶微分方程 渐近稳定性 混沌 反馈控制 |
Chaos control of a fractional order jerk system |
| |
| WANG Yan-zhi
,
ZHANG Chun-rui.Chaos control of a fractional order jerk system[J].Journal of Natural Science of Heilongjiang University,2012,29(2):196-203. |
| |
| Authors: | WANG Yan-zhi ZHANG Chun-rui |
| |
| Institution: | (Department of Mathematics,Northeast Forestry University,Harbin 150040,China) |
| |
| Abstract: | A fractional-order jerk system is discussed.Firstly,based on the qualitative theory,the existence and uniqueness of solutions for fractional-order jerk systems are investigated.Secondly,fractional order Routh-Hurwitz conditions are given.Furthermore the minimum effective dimensions have been identified for chaos to exist in the system.Thirdly,the feedback control method is used to control chaos in the fractional order jerk system.Finally,the numerical simulations show the effectiveness of the method. |
| |
| Keywords: | fractional-order jerk system asymptotic stability chaos feedback control |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
