Dual regularization and Pontryagin's maximum principle in a problem of optimal boundary control for a parabolic equation with nondifferentiable functionals

DOI10.1134/S0081543811090124zbMath1294.49014MaRDI QIDQ741198

M. I. Sumin

Publication date: 10 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

maximum principleregularizationdualitynondifferentiable functionaloptimal boundary control

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Regularity of solutions in optimal control (49N60) Parabolic equations and parabolic systems (35K99)

Related Items (4)

Stable sequential convex programming in a Hilbert space and its application for solving unstable problems ⋮ REGULARIZATION OF PONTRYAGIN MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS ⋮ Regularization of the Pontryagin maximum principle in the problem of optimal boundary control for a parabolic equation with state constraints in Lebesgue spaces ⋮ The stable Lagrange principle in sequential form for the convex programming problem in a uniformly convex space and its applications

Cites Work

• Unnamed Item
• Pontryagin's Principle For Local Solutions of Control Problems with Mixed Control-State Constraints
• Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Duality-based regularization in a linear convex mathematical programming problem

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