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线性控制系统对小时滞的鲁棒能控性 被引量：3

Robustness with Respect to Small Delays for Controllability of Linear Dynamic Systems
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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． 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.
作者 于欣 刘康生
机构地区 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
出处 《数学年刊（A辑）》 CSCD 北大核心 2007年第2期151-158,共8页 Chinese Annals of Mathematics
基金 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
关键词 C0-半群 能控性 X-能控性 鲁棒性 时滞 C0-semigroup, Controllability, X-controllability, Robustness,Delay
分类号 O231.1 [理学—运筹学与控制论]
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参考文献15

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同被引文献14

  • 1JIANG W S, GUO F M, HUANG F L. Well-Posedness of Linear Partial Differential Equations with Unbound Delay Operators [J]. Math AnaIAppl, 2004, 29(3): 310-328.
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  • 8Xin Yu, Chao Xu. On differentiability and Stability of Populaiton System with Time Delay[ J ]. Proceedings of the 5th W C on intelligent Control and Automation, 2004, (1) :15 -19.
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引证文献3

二级引证文献1

数学年刊（A辑）
2007年 第2期

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