A Self-Concordant Interior Point Approach for Optimal Control with State Constraints
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Publication:2954395
DOI10.1137/130936671zbMath1356.49040OpenAlexW2063441491MaRDI QIDQ2954395
Florian Mannel, Michael Ulbrich
Publication date: 13 January 2017
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/677946b74cbd627bea6f97d7af7a6085dfccfaf1
Numerical methods based on necessary conditions (49M05) Interior-point methods (90C51) Programming in abstract spaces (90C48) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items (6)
Safeguarded Augmented Lagrangian Methods in Banach Spaces ⋮ Uniqueness and asymptotics of singularly perturbed equations involving implicit boundary conditions ⋮ Optimal control of ODEs with state suprema ⋮ An augmented Lagrange method for elliptic state constrained optimal control problems ⋮ A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems ⋮ An ADMM numerical approach to linear parabolic state constrained optimal control problems
Cites Work
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- Looking for the best constant in a Sobolev inequality: a numerical approach
- Self-concordant barriers for convex approximations of structured convex sets
- A virtual control concept for state constrained optimal control problems
- Hölder continuity and optimal control for nonsmooth elliptic problems
- A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints
- A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints
- Source representation strategy for optimal boundary control problems with state constraints
- Explicit \(H_ 2\)-estimates and pointwise bounds for solutions of second- order elliptic boundary value problems
- Interior-point methods for convex programming
- Infinite-dimensional quadratic optimization: Interior-point methods and control applications
- Regularity results for elliptic equations in Lipschitz domains
- Long-step path-following algorithm for convex quadratic programming problems in a Hilbert space
- Smooth convex approximation to the maximum eigenvalue function
- Smoothing methods for convex inequalities and linear complementarity problems
- An interior point method in function space for the efficient solution of state constrained optimal control problems
- Semi-smooth Newton methods for state-constrained optimal control problems
- Optimal control of PDEs with regularized pointwise state constraints
- A Mathematical View of Interior-Point Methods in Convex Optimization
- An Extended Mathematical Framework for Barrier Methods in Function Space
- Optimization with PDE Constraints
- Error estimates for the Lavrentiev regularization of elliptic optimal control problems
- Barrier Methods for Optimal Control Problems with State Constraints
- PDE-Constrained Optimization Subject to Pointwise Constraints on the Control, the State, and Its Derivative
- Eigenvalues of the Laplacian in Two Dimensions
- Control of an Elliptic Problem with Pointwise State Constraints
- Penalty and Barrier Methods: A Unified Framework
- The Length of the Primal-Dual Path in Moreau--Yosida-Based Path-Following Methods for State Constrained Optimal Control
- The minimization of a maximum‐norm functional subject to an elliptic PDE and state constraints
- Feasible and Noninterior Path‐Following in Constrained Minimization with Low Multiplier Regularity
- On two numerical methods for state-constrained elliptic control problems
- New regularity results and improved error estimates for optimal control problems with state constraints
- Optimization
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