Turnpike properties of optimal relaxed control problems☆

被引：5
|
作者：
Lou, Hongwei [1 ,2 ]
Wang, Weihan [3 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, LMNS, Shanghai 200433, Peoples R China
[3] Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2019年 / 25卷
基金：
中国国家自然科学基金;
关键词：
Turnpike property; relaxed control; maximum principle; TIME; DISSIPATIVITY; THEOREM;
D O I：
10.1051/cocv/2018064
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, three kinds of turnpike properties for optimal relaxed control problems are considered. Under some convexity and controllability assumptions, we obtain the uniform boundedness of the optimal pairs and the adjoint functions. On the basis, we prove the integral turnpike property, the mean square turnpike property and the exponential turnpike property, respectively.
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页数：36
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