The turnpike property in semilinear control

被引：2
|
作者：
Pighin, Dario [1 ,2 ]
机构：
[1] Univ Autonoma Madrid, Dept Matemat, Madrid 28049, Spain
[2] Univ Deusto, Chair Computat Math, Fdn Deusto, Bilbao 48007, Basque Country, Spain
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2021年 / 27卷
基金：
欧洲研究理事会;
关键词：
Optimal control problems; long time behavior; the turnpike property; semilinear parabolic equations;
D O I：
10.1051/cocv/2021036
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An exponential turnpike property for a semilinear control problem is proved. The state-target is assumed to be small, whereas the initial datum can be arbitrary. Turnpike results are also obtained for large targets, requiring that the control acts everywhere. In this case, we prove the convergence of the infimum of the averaged time-evolution functional towards the steady one. Numerical simulations are performed.
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页数：48
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