Second order analysis for the optimal control of parabolic equations under control and final state constraints
From MaRDI portal
Publication:255179
DOI10.1007/s11228-015-0337-4zbMath1334.49068OpenAlexW1013854825MaRDI QIDQ255179
F. Blanchet-Sadri, M. Dambrine
Publication date: 9 March 2016
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-015-0337-4
optimal controlbox constraintssemilinear parabolic equationsquadratic Hamiltonianfinal state constraintsRobinson constraint qualificationsecond order optimality conditions
Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20) Semilinear parabolic equations (35K58) PDEs in connection with control and optimization (35Q93)
Related Items
Optimality Conditions (in Pontryagin Form) ⋮ Hybrid optimal control problems for a class of semilinear parabolic equations ⋮ Second Order Analysis for Strong Solutions in the Optimal Control of Parabolic Equations ⋮ Second-order necessary conditions in optimal control of evolution systems ⋮ Second-order Lagrange multiplier rules in multiobjective optimal control of semilinear parabolic equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Contrôle dans les inéquations variationelles elliptiques
- How to differentiate the projection on a convex set in Hilbert space. Some applications to variational inequalities
- Second-order analysis for control constrained optimal control problems of semilinear elliptic systems
- Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
- Second order sufficient optimality conditions for a nonlinear elliptic boundary control problem
- Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints
- 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
- Optimal Control of a Parabolic Equation with Time-Dependent State Constraints
- Second-Order Sufficient Optimality Conditions for a Class of Nonlinear Parabolic Boundary Control Problems
- Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
- Asymptotic Expansion for the Solutions of Control Constrained Semilinear Elliptic Problems with Interior Penalties
- Lagrange Multiplier Approach to Variational Problems and Applications
- Optimization with PDE Constraints
- Recent advances in the analysis of pointwise state-constrained elliptic optimal control problems
- Strongly Regular Generalized Equations
- First and second order sufficient optimality conditions in mathematical programming and optimal control
- Perturbation analysis of optimization problems in banach spaces
- Elliptic Partial Differential Equations of Second Order
- Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
- Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
- Second Order Optimality Conditions for Semilinear Elliptic Control Problems with Finitely Many State Constraints
- Optimal Control Problems with Partially Polyhedric Constraints
- Second-Order Necessary and Sufficient Optimality Conditions for Optimization Problems and Applications to Control Theory
- Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints
- Second-Order Necessary Conditions in Pontryagin Form for Optimal Control Problems
- Characterization of local quadratic growth for strong minima in the optimal control of semi-linear elliptic equations
- Sufficient Second‐Order Optimality Conditions for an Elliptic Optimal Control Problem with Pointwise Control‐State Constraints
