摘要
把抽象系统的能控性和能观测性推广到由强连续双半群描述的抽象边值系统，给出了相应的边值系统能控性的充要条件，并研究了能观测性与能控性之间的对偶关系．最后作为例子，研究了双曲系统能控性．文中所得的结果可用于讨论现代物理系统中出现一类边值系统的能控性与能观测性问题．
The controllability and observability of initial value systems are extended to abstract boundary value systems in this paper. Some sufficient and necessary conditions about controllability of the boundary value systems and the dual relations between controllability and observability are obtained. As applications, the controllability of hypoelliptic equation and transport equation is studied.
出处
《系统科学与数学》
CSCD
北大核心
2000年第2期166-174,共9页
Journal of Systems Science and Mathematical Sciences
基金
国家攀登计划
山西省自然科学基金
