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具有控制时滞的非线性分数阶阻尼系统的可控性
徐中杨,谢峰
作者单位E-mail
徐中杨 东华大学 理学院, 上海 201620  
谢峰 东华大学 理学院, 上海 201620 fxie@dhu.edu.cn 
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.
关键词:  可控性  分数阶阻尼系统  控制时滞
DOI:10.3969/J.ISSN.100-5137.2017.03.005
分类号:
基金项目:This work is partially supported by the Natural Science Foundation of Shanghai (15ZR1400800)
The controllability of nonlinear fractional damped dynamical systems with control delay
Xu Zhongyang,Xie Feng
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.
Key words:  controllability  fractional damped systems  control delay