张宏伟, 呼青英. Banach空间无界控制算子的容许性(英文)[J]. 信阳师范学院学报(自然科学版), 1999, 12(2): 136-139.
引用本文: 张宏伟, 呼青英. Banach空间无界控制算子的容许性(英文)[J]. 信阳师范学院学报(自然科学版), 1999, 12(2): 136-139.
Zhang Hongwei, Hu Qingying. Admissibility of Unbounded Control Operators in Banach Spaces[J]. Journal of Xinyang Normal University (Natural Science Edition), 1999, 12(2): 136-139.
Citation: Zhang Hongwei, Hu Qingying. Admissibility of Unbounded Control Operators in Banach Spaces[J]. Journal of Xinyang Normal University (Natural Science Edition), 1999, 12(2): 136-139.

Banach空间无界控制算子的容许性(英文)

Admissibility of Unbounded Control Operators in Banach Spaces

  • 摘要: 本文讨论了由x′(t)=Ax(t)+Bu(t)描述的线性系统,当A在非自反Banach空间上生成半群和B为一无界算子时,B是可容的充分必要条件。

     

    Abstract: For linear systems described by x′(t)=Ax(t)+Bu(t),where A generates a semigroup on the non-reflexive Banach space and B is an unbounded operator,a sufficient and necessary condition is given for B is admissible.

     

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