考虑一维热传导方程在两个边界控制切换作用情形下的近似能控性. 采用变分方法, 通过某个二次泛函的极小值点构造合适的边界控制函数, 使其满足切换条件,
而且使得系统是近似能控的.

This paper is concerned with the approximate controllability of  one dimensional parabolic system under switching boundary controls. By the variational method, the two boundary controls satisfying the switching condition are constructed through the minimizers of   certain quadratic functional to make the system approximately controllable.