Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints

DOI10.1134/S0081543816020036zbMath1343.49034WikidataQ57550575 ScholiaQ57550575MaRDI QIDQ2631291

D. Yu. Karamzin, Aram V. Arutyunov, Fernando Lobo Pereira

Publication date: 29 July 2016

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

zbMATH Keywords

optimal controlLagrange multipliersstate constraintsPontryagin's maximum principle

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

On the relation between two approaches to necessary optimality conditions in problems with state constraints ⋮ On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems ⋮ Minimax optimal control problem with state constraints ⋮ A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle

Cites Work

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• When is the maximum principle for state constrained problems nondegenerate?
• Properties of the Lagrange multipliers in the Pontryagin maximum principle for optimal control problems with state constraints
• A maximum principle for impulsive control problems with state constraints
• The problem of control with bounded phase coordinates

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