Turnpike properties of optimal relaxed control problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 25 (2019), article no. 74.

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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DOI : 10.1051/cocv/2018064
Classification : 49J15, 49K15
Mots-clés : Turnpike property, relaxed control, maximum principle
Lou, Hongwei 1 ; Wang, Weihan 1

1 
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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://www.numdam.org/articles/10.1051/cocv/2018064/

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