Further results on subgradients of the value function to a parametric optimal control problem

DOI10.1007/s10957-011-9933-0zbMath1342.49020OpenAlexW2026305270MaRDI QIDQ283920

Nguyen Huy Chieu, Nguyen Thi Toan, Bui Trong Kien

Publication date: 17 May 2016

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-011-9933-0

zbMATH Keywords

value functionparametric optimal controlmarginal functionFréchet normal coneFréchet subdifferentialFréchet subgradients

Mathematics Subject Classification ID

Sensitivity, stability, parametric optimization (90C31) Nonsmooth analysis (49J52)

Related Items

Subgradients of the value function in a parametric convex optimal control problem ⋮ Second-order sufficient optimality conditions for an optimal control problem with mixed constraints ⋮ The Clarke coderivative of the frontier map in a multi-objective optimal control problem ⋮ Subgradients of Marginal Functions in Parametric Control Problems of Partial Differential Equations ⋮ Sensitivity analysis of multi-objective optimal control problems ⋮ Differential stability of convex discrete optimal control problems ⋮ Bilevel programming problems with simple convex lower level ⋮ Mordukhovich subgradients of the value function to a parametric discrete optimal control problem ⋮ Second-order necessary optimality conditions for an optimal control problem ⋮ Differential stability of a class of convex optimal control problems ⋮ Differential stability of discrete optimal control problems with mixed contraints ⋮ Subgradients of the Value Function via Multiplier Sets of Parametric Convex Discrete Optimal Control Problems ⋮ Second-order necessary optimality conditions for an optimal control problem with nonlinear state equations

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