Properties of the Lagrange multipliers in the Pontryagin maximum principle for optimal control problems with state constraints

DOI10.1134/S0012266112120051zbMath1260.49026OpenAlexW1974193267MaRDI QIDQ1943720

Publication date: 20 March 2013

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266112120051

zbMATH Keywords

Lagrange multipliers Pontryagin maximum principle extremal trajectory optimal control problem with state constraints

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (8)

On some properties of the shortest curve in a compound domain ⋮ Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints ⋮ On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems ⋮ On a few questions regarding the study of state-constrained problems in optimal control ⋮ State constraints in impulsive control problems: Gamkrelidze-like conditions of optimality ⋮ Minimax optimal control problem with state constraints ⋮ A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle ⋮ On the study of conditions for the continuity of the Lagrange multiplier measure in problems with state constraints

Cites Work

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