时变线性系统关于p-可积控制的能达集(英文)  

On the Attainable Sets of Linear Time-Variant Control Systems with p-Integrable Controls

作　　者：谭志加[1] 

机构地区：[1]复旦大学数学研究所,上海200433

出　　处：《复旦学报（自然科学版）》2006年第2期224-229,共6页Journal of Fudan University：Natural Science

基　　金：Project supported by NSFC(10371024)

摘　　要：讨论了时变线性控制系统当控制为p可积函数时相应的能达集与指标p的关系.经过证明,得到控制系统关于p-可积控制的能达集一般会随指标p不同而变化,但是这种变化的次数是有限的.The relationship between the attainable set of linear time-variant system with p-intcgrable controls and index p is discussed, Generally, the attainable set changes if p changes. By discussion, it can be proved that under suitable assumptions the changing times of the attainable set is finite. That is to say, the attainable set changers on some finite points of p.

关 键 词：能达集 控制系统 p-可积控制 

分 类 号：O23[理学—运筹学与控制论]