| 具有控制时滞的非线性分数阶阻尼系统的可控性 |
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| 引用本文： | 徐中杨,谢峰.具有控制时滞的非线性分数阶阻尼系统的可控性[J].上海师范大学学报(自然科学版),2017,46(3):375-383. |
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| 作者姓名： | 徐中杨 谢峰 |
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| 作者单位： | 东华大学 理学院, 上海 201620,东华大学 理学院, 上海 201620 |
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| 基金项目： | This work is partially supported by the Natural Science Foundation of Shanghai (15ZR1400800) |
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| 摘 要： | 讨论了在Caputo意义下，控制项具有时滞的非线性分数阶阻尼系统的可控性.利用不动点定理，得到了非线性分数阶阻尼系统可控的充分条件,所得的条件易于验证.并且给出两个例子说明所得结论的可行性.
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| 关 键 词： | 可控性 分数阶阻尼系统 控制时滞 |
| 收稿时间： | 2016/7/8 0:00:00 |
The controllability of nonlinear fractional damped dynamical systems with control delay |
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| Xu Zhongyang and Xie Feng.The controllability of nonlinear fractional damped dynamical systems with control delay[J].Journal of Shanghai Normal University(Natural Sciences),2017,46(3):375-383. |
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| Authors: | Xu Zhongyang and Xie Feng |
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| Institution: | College of Science, Donghua University, Shanghai 201620, China and College of Science, Donghua University, Shanghai 201620, China |
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| Abstract: | This paper deals with the controllability of nonlinear fractional damped dynamical system with control delay which involves fractional Caputo derivatives. Using fixed point theorem, we establish sufficient conditions for the controllability of nonlinear fractional damped dynamical system with control delay are established. These conditions are easily checked. Two examples are given to illustrate the main results. |
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| Keywords: | controllability fractional damped systems control delay |
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