Sensitivity analysis and the adjoint update strategy for an optimal control problem with mixed control-state constraints

DOI10.1007/s10589-008-9181-xzbMath1189.49040OpenAlexW2078339763MaRDI QIDQ849075

Daniel Wachsmuth, Roland Griesse

Publication date: 24 February 2010

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

Full work available at URL: https://doi.org/10.1007/s10589-008-9181-x

zbMATH Keywords

optimal controlcontrol and state constraintsTaylor expansionBouligand derivative

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Semilinear elliptic equations (35J61) PDEs in connection with control and optimization (35Q93)

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Cites Work

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• Lipschitz stability of solutions to parametric optimal control problems for parabolic equations
• Implicit function theorems for generalized equations
• Mesh-independence of semismooth Newton methods for Lavrentiev-regularized state constrained nonlinear optimal control problems
• Sufficient optimality conditions in stability analysis for state-constrained optimal control
• Stability and sensitivity analysis for optimal control problems with control-state constraints
• BOULIGAND DIFFERENTIABILITY OF SOLUTIONS TO PARAMETRIC OPTIMAL CONTROL PROBLEMS^*
• Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
• Semi-smooth Newton method for an optimal control problem with control and mixed control-state constraints
• On Regularity of Solutions and Lagrange Multipliers of Optimal Control Problems for Semilinear Equations with Mixed Pointwise Control-State Constraints
• Update strategies for perturbed nonsmooth equations
• A sensitivity-based extrapolation technique for the numerical solution of state-constrained optimal control problems
• Real Interpolation of Sobolev Spaces on Subdomains of Rn
• On an Elliptic Optimal Control Problem with Pointwise Mixed Control-State Constraints
• Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints
• On two numerical methods for state-constrained elliptic control problems