On the semicontinuity of the solution map to a parametric boundary control problem

DOI10.1080/02331934.2016.1274990zbMath1376.49033OpenAlexW2582454054MaRDI QIDQ2970397

Nguyen Hai Son

Publication date: 30 March 2017

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2016.1274990

zbMATH Keywords

boundary controlupper semicontinuityparametric optimal controlsolution stabilitymixed pointwise constraint

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (4)

Solution stability to parametric distributed optimal control problems with finite unilateral constraints ⋮ Upper semicontinuity of the solution map to a parametric boundary optimal control problem with unbounded constraint sets ⋮ Locally Hölder Continuity of the Solution Map to a Boundary Control Problem with Finite Mixed Control-State Constraints ⋮ Upper semicontinuity of the solution map to a parametric elliptic optimal control problem

Cites Work

• Hölder continuity of the solution map to an elliptic optimal control problem with mixed constraints
• Second-order conditions in stability analysis for state constrained optimal control
• Sufficient optimality conditions in stability analysis for state-constrained optimal control
• Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
• Second-Order Optimality Conditions for Boundary Control Problems with Mixed Pointwise Constraints
• Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
• Stability Analysis for Nonlinear Optimal Control Problems Subject to State Constraints
• On the lower semicontinuity of optimal solution sets
• Lower Semicontinuity of the Solution Set to a Parametric Optimal Control Problem
• Lower semicontinuity of the solution map to a parametric elliptic optimal control problem with mixed pointwise constraints
• Stability and sensitivity analysis for linear-quadratic optimal control subject to state constraints
• Sensitivity analysis for optimal control problems subject to higher order state constraints

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