The Mordukhovich Coderivative and the Local Metric Regularity of the Solution Map to a Parametric Discrete Optimal Control Problem

In this paper, we study the Mordukhovich coderivative and the local metric regularity in Robinson’s sense of the solution map to a parametric dynamic programming problem with linear constraints and convex cost functions. By establishing abstract results on the coderivative and the local metric regul...

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Bibliographic Details

Published in:	Acta mathematica vietnamica Vol. 43; no. 1; pp. 175 - 199
Main Authors:	Thuy, Le Quang, Toan, Nguyen Thi
Format:	Journal Article
Language:	English
Published:	Singapore Springer Singapore 01.03.2018 Springer Nature B.V
Subjects:	Dynamic programming Mathematics Mathematics and Statistics Optimal control Regularity Mordukhovich coderivative 49K21 93C55 49J21 Parametric discrete optimal control problem Solution map Dynamic programming problem Local metric regularity
ISSN:	0251-4184, 2315-4144
Online Access:	Get full text
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