一类状态线性系统∑(A,B,-)精确零能控的充分必要条件

One Sufficient and Necessary Conditions for Exact Null Controliabolity of a Kind State Linear System ∑(A,B,-)

研究Hilbert空间Z=L2(0,∞)上,状态线性系统∑(A,B,-)在[0,τ]上(对某个有限的τ)精确零能控的充分必要条件,其中A为平移半群T(t)的无穷小生成元,B为正交投影算子。

In this paper, we discussed the sufficient and necessary conditions for the exact null controllability of the state linear system ∑ （A ,B, - ） on [ 0,τ] on Hibert space L2 （0, ∞）, where A generates the shift semigro-up T （t） and B is the orthogonal projection operator.