First-order conditions for the optimal control of the obstacle problem with state constraints
From MaRDI portal
Publication:5060693
zbMATH Open1505.49019arXiv2012.15324MaRDI QIDQ5060693
Author name not available (Why is that?)
Publication date: 11 January 2023
Abstract: We consider an optimal control problem in which the state is governed by an unilateral obstacle problem (with obstacle from below) and restricted by a pointwise state constraint (from above). In the presence of control constraints, we prove, via regularization of the state constraints, that a system of C-stationarity is necessary for optimality. In the absence of control constraints, we show that local minimizers are even strongly stationary by a careful discussion of the primal first-order conditions of B-stationary type.
Full work available at URL: https://arxiv.org/abs/2012.15324
No records found.
No records found.
This page was built for publication: First-order conditions for the optimal control of the obstacle problem with state constraints
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q5060693)
