Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/100862
Title: The lipschitz properties of the value function and the solution map to a parametric discrete optimal control problem
Authors: Nguyen, Thi Toan
Le, Quang Thuy
Keywords: Parametric discrete optimal control problem
Dynamic programming problem
Solution map
Value function
Lipschitz property
Aubin property
Issue Date: 2020
Series/Report no.: Acta mathematica Vietnamica journal;Vol. 45, No. 02 .- P.365-382
Abstract: Motivated by the works of Toan and Kien (J. Nonlinear Convex Anal 12:635-650, 2011) and Thuy and Toan (Acta Math, Vietnam, 43:175-199, 2018) on the stability and the solution sensitivity in parametric discrete optimal control problems, this paper is devoted to the study of the Lipschitz property of the value function and the Aubin property of the solution map to a parametric dynamic programming problem with linear constraints. By establishing abstract results on the Lipschitz property of the value function to a parametric programming and the Aubin property of the solution map to a parametric variational inequality, we obtain the Lipschitz property of the value function and the Aubin property of the solution map to a parametric discrete optimal control problem.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/100862
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

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