EQUIVALENCE OF THREE DIFFERENT KINDS OF OPTIMAL CONTROL PROBLEMS FOR HEAT EQUATIONS AND ITS APPLICATIONS

被引：27

作者：

Wang, Gengsheng ^{[1
]}

Xu, Yashan ^{[2
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

[2] Fudan Univ, KLMNS, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2013年 / 51卷 / 02期

基金：

中国国家自然科学基金;

关键词：

equivalence of optimal controls; optimal target; optimal time; optimal norm; feedback law; heat equations; APPROXIMATE CONTROLLABILITY; TIME FUNCTION; MINIMAL TIME; NULL;

D O I：

10.1137/110852449

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents an equivalence theorem for three different kinds of optimal control problems, which are optimal target control problems, optimal time control problems, and optimal norm control problems. Controlled systems in this study are internally controlled heat equations. With the aid of this theorem, we establish an optimal norm feedback law and build up some explicit algorithms for solutions of optimal norm and optimal time control problems.

引用

页码：848 / 880

页数：33

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