一类抛物型方程的能控性

Controllability for a Class of Partial Differential Equations of Parabolic Type

研究了一类由抛物型偏微分方程描述的分布参数系统的能控性问题 ,通过构造凸泛函 ,用与Sakawa不同的方法 ,得到了系统的全局近似能控性 ,并进一步证明了系统具有有限维精确能控性 ,改进了Sakawa已有的结果。

This paper is devoted to the study of controllability for the distributed parameter systems described by partial differential equations of parabolic type. With different approach to Sakawas, the approximate controllability for the distributed parameter systems is obtained by constructing convex function. And then, it is proved that the distributed parameter systems are finite dimensional exact controllable. Sakawas existing result is improved.