边值系统的能控性与能观测性问题

许跟起;冯德兴

系统科学与数学 ›› 2000, Vol. 20 ›› Issue (2) : 166-174.

PDF(433 KB)
PDF(433 KB)
系统科学与数学 ›› 2000, Vol. 20 ›› Issue (2) : 166-174. DOI: 10.12341/jssms09778
论文

边值系统的能控性与能观测性问题

    许跟起,冯德兴
作者信息 +

CONTROLLABILITY AND OBSERVABILITY OF ABSTRACT BOUNDARY VALUE SYSTEMS

    Gen Qi XU,De Xing FENG
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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.

Abstract

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

Key words

Boundary value system / controllability / observability

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许跟起 , 冯德兴. 边值系统的能控性与能观测性问题. 系统科学与数学, 2000, 20(2): 166-174. https://doi.org/10.12341/jssms09778
Gen Qi XU , De Xing FENG. CONTROLLABILITY AND OBSERVABILITY OF ABSTRACT BOUNDARY VALUE SYSTEMS. Journal of Systems Science and Mathematical Sciences, 2000, 20(2): 166-174 https://doi.org/10.12341/jssms09778
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