本文考虑一类Dirichlet型边界控制半线性抛物型系统，应用半群理论和非线性分析的方法，证明了系统解映射的连续性，给出了系统逼近能控的一个充分条件．对于Neumann型边界控制或混合型边界控制的半线性抛物型系统，可以得到类似的结果．

In this paper, a class of semilinear parabolic systems with a Dirichlet boundary control is considered.It is proved that the solution mapping of the boundary control system is continous by the semigroup theory and nonlinear analysis methods. A kind of sufficient condition for the approximate controll ability of the semilinear parabolic control system is given. The result could be generalized to the semilinear parabolic systems with a Neumann boundary control and to other cases.