边值系统的能控性与能观测性问题  

CONTROLLABILITY AND OBSERVABILITY OF ABSTRACT BOUNDARY VALUE SYSTEMS

作　　者：许跟起[1] 冯德兴[1] 

机构地区：[1]中国科学院数学与系统科学研究院系统科学研究所,北京100080

出　　处：《系统科学与数学》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

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.

关 键 词：边值系统 能控性 能观测性 抽象微分方程 

分 类 号：N94[自然科学总论—系统科学]