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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.
Lou, Hongwei 1 ; Wang, Weihan 1
@article{COCV_2019__25__A74_0,
author = {Lou, Hongwei and Wang, Weihan},
title = {Turnpike properties of optimal relaxed control problems},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
publisher = {EDP-Sciences},
volume = {25},
year = {2019},
doi = {10.1051/cocv/2018064},
zbl = {1439.49006},
mrnumber = {4039136},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018064/}
}
TY - JOUR AU - Lou, Hongwei AU - Wang, Weihan TI - Turnpike properties of optimal relaxed control problems JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2019 VL - 25 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018064/ DO - 10.1051/cocv/2018064 LA - en ID - COCV_2019__25__A74_0 ER -
%0 Journal Article %A Lou, Hongwei %A Wang, Weihan %T Turnpike properties of optimal relaxed control problems %J ESAIM: Control, Optimisation and Calculus of Variations %D 2019 %V 25 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018064/ %R 10.1051/cocv/2018064 %G en %F COCV_2019__25__A74_0
Lou, Hongwei; Wang, Weihan. Turnpike properties of optimal relaxed control problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 74. doi : 10.1051/cocv/2018064. http://geodesic.mathdoc.fr/articles/10.1051/cocv/2018064/
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