Sufficient optimality conditions for multidimensional optimal control problems with mixed constraints governed by an elliptic PDE

DOI10.1080/02331930701761649zbMath1158.49301OpenAlexW2138862013MaRDI QIDQ3622017

Elzbieta Galewska

Publication date: 23 April 2009

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331930701761649

zbMATH Keywords

sufficient optimality conditionselliptic PDEdual feedback controlmixed state-control constraintsmultidimensional dual dynamic programming

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Dynamic programming in optimal control and differential games (49L20) Duality theory (optimization) (49N15)

Cites Work

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• Second-order sufficient conditions for state-constrained optimal control problems
• Multidimensional dual dynamic programming
• Sufficiency conditions with minimal regularity assumptions
• Second-order sufficient conditions for control problems with mixed control-state constraints
• Sufficient Optimality Conditions for Optimal Control Subject to State Constraints
• The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency
• Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints
• Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations
• A Dual Dynamic Programming for Multidimensional Elliptic Optimal Control Problems

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