New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
From MaRDI portal
Publication:6098455
DOI10.1137/22m149199xzbMath1518.35332arXiv2205.03813MaRDI QIDQ6098455
Alberto Domínguez Corella, Eduardo Casas, Nicolai Jork
Publication date: 14 June 2023
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.03813
Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear elliptic equations (35J61)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability of semilinear elliptic optimal control problems with pointwise state constraints
- Lipschitz stability of solutions to some state-constrained elliptic optimal control problems
- Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations
- Tikhonov regularization of control-constrained optimal control problems
- Optimality, stability, and convergence in nonlinear control
- \(L^\infty\)-stability of a parametric optimal control problem governed by semilinear elliptic equations
- State error estimates for the numerical approximation of sparse distributed control problems in the absence of Tikhonov regularization
- Second Order Analysis for Strong Solutions in the Optimal Control of Parabolic Equations
- Second Order Analysis for Optimal Control Problems: Improving Results Expected From Abstract Theory
- Convergence and regularization results for optimal control problems with sparsity functional
- First and second order sufficient optimality conditions in mathematical programming and optimal control
- First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
- Stability for bang-bang control problems of partial differential equations
- Second-Order Optimality Conditions in Sets of ${\text{L}}^\infty $ Functions with Range in a Polyhedron
- Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations
- Critical Cones for Sufficient Second Order Conditions in PDE Constrained Optimization
- Error Estimates for Semilinear Parabolic Control Problems in the Absence of Tikhonov Term
- Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations
- Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation
- Analysis of control problems of nonmontone semilinear elliptic equations
This page was built for publication: New Assumptions for Stability Analysis in Elliptic Optimal Control Problems
