Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems

DOI10.1137/17M1139953zbMath1403.49017arXiv1707.06880MaRDI QIDQ4558211

Gerd Wachsmuth, Daniel Wachsmuth, Eduardo Casas

Publication date: 21 November 2018

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.06880

zbMATH Keywords

error analysisbang-bang controlsufficient optimality conditionssecond-order conditionsbilinear controls

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Discrete approximations in optimal control (49M25) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30) Semilinear elliptic equations (35J61)

Related Items (13)

Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations ⋮ Stability for semilinear parabolic optimal control problems with respect to initial data ⋮ Error estimates for the numerical approximation of unregularized sparse parabolic control problems ⋮ Finite element error estimates for one-dimensional elliptic optimal control by BV-functions ⋮ On the solution stability of parabolic optimal control problems ⋮ On Optimal Control Problems with Controls Appearing Nonlinearly in an Elliptic State Equation ⋮ State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization ⋮ Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization ⋮ Galerkin spectral approximation of optimal control problems with \(L^2\)-norm control constraint ⋮ Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls ⋮ Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term ⋮ State Constrained Control-Affine Parabolic Problems II: Second Order Sufficient Optimality Conditions ⋮ First and second order optimality conditions for the control of Fokker-Planck equations

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