本项目拟研究半导体方程和Keller-Segel方程的能控性和能稳性问题。半导体方程和Keller-Segel方程分别是电子信息和生物医学领域中的基本方程组，是这两个重要科学领域的理论基石之一，因此本项目具有一定的应用价值。这两类方程是数学物理上的经典方程，具有独特的数学结构，目前在偏微分方程领域内的研究成果比较丰富，但是在控制理论尤其是能控性和能稳性领域上的工作还没有展开，研究的前景较为宽广。.本项目主要研究的问题是半导体方程的全局精确能控性和逼近能控性，Keller-Segel方程的局部精确能控性，以及这两类方程的有限维反馈能稳性。.本项目所探讨的问题具有一定的难度和挑战性，需要建立一些偏微分方程和泛函分析的本质结论。本项目所得的结果对于偏微分方程理论和分布参数系统控制理论是重要的补充，对于信息工程和生物医学的研究有一定的推动作用。

The project concerns the controllability and stabilization of semiconductor equation and Keller-Segel equations, which are the basic equations in electronic information and biomedicine, respectively. Both semiconductor equation and Keller-Segel equation, with unique mathematical structures, are classical models in mathematical physics, and well developed with abundant results. However, very few results, to our best knowledge, are available on the control problems of these two equations. .There are many problems deserve to be studied, among which, we consider in this project the following problems:global exact controllability and approximate controllability of semiconductor equation, local exact controllability of Keller-Segel equation, and finite dimensional feedback stabilization of both these equations, etc. .The problems addressed here are difficult and challenging in developing some essential results on partial differential equations and functional analysis. The results and methods established in this project are important both in the distributed parameter system and the research on electronic information and biomedicine.