| 线性控制系统对小时滞的鲁棒能控性 |
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| 引用本文： | 于欣,刘康生.线性控制系统对小时滞的鲁棒能控性[J].数学年刊A辑(中文版),2007(2). |
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| 作者姓名： | 于欣 刘康生 |
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| 作者单位： | 浙江大学宁波理工学院信息与优化技术研究所，浙江大学数学系 浙江 宁波 315100，杭州 310027 |
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| 基金项目： | 国家自然科学基金(No．10501039,No．10571161)，宁波博士(青年)基金(No．2005A610005)，宁波理工学院基金(No．1141157G501)资助的项目 |
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| 摘 要： | 对于在Banach空间中线性控制系统对时滞的鲁棒能控性．给出一个充分条件,在这个条件下,证明对一个能控的线性系统施加某个小的时滞扰动之后,其能控性保持不变．
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| 关 键 词： | C0-半群 能控性 X-能控性 鲁棒性 时滞 |
Robustness with Respect to Small Delays for Controllability of Linear Dynamic Systems |
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| YU Xin LIU Kangsheng Laboratory of Information and Optimization Technologies,Ningbo Institute of Technology,Zhejiang University,Ningbo ,Zhejiang,China.Robustness with Respect to Small Delays for Controllability of Linear Dynamic Systems[J].Chinese Annals of Mathematics,2007(2). |
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| Authors: | YU Xin LIU Kangsheng Laboratory of Information and Optimization Technologies Ningbo Institute of Technology Zhejiang University Ningbo Zhejiang China |
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| Institution: | YU Xin LIU Kangsheng Laboratory of Information and Optimization Technologies,Ningbo Institute of Technology,Zhejiang University,Ningbo 315100,Zhejiang,China. Department of Mathematics,Zhejiang University,Hangzhou 310027,China. |
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| Abstract: | This paper studies the robustness with respect to delays for controllability of linear dynamic systems in Banach spaces, which is of great theoretical and practical importance. A sufficient condition is given, under which the controllability for linear dynamic systems in Banach spaces is preserved if the system is perturbed by a small delay. |
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| Keywords: | C0-semigroup Controllability X-controllability Robustness Delay |
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