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.