On the Equivalence of Maximum Principle Open-Loop Controllers and Caratheodory Feedback Controllers for Time-Delay Systems

被引：3
|
作者：
Korvo, H. N. [1 ,2 ]
机构：
[1] Univ Minnesota, Dept Elect Engn, Minneapolis, MN 55455 USA
[2] Univ Minnesota, Ctr Control Sci, Minneapolis, MN USA
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1974年 / 14卷 / 02期
关键词：
Feedback control; feedback equations; linear-quadratic problems; Riccati equation; time-delay systems;
D O I：
10.1007/BF00932938
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The optimal feedback gain matrix derived from the maximum principle for linear time-delay systems with quadratic cost satisfies an integral equation. On the other hand, if the extended Caratheodory lemma is used to solve the same problem, the optimal feedback gains satisfy a set of partial differential equations. It is shown that the resulting feedback gains are equivalent.
引用
收藏
页码：163 / 178
页数：16
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