On the study of conditions for the continuity of the Lagrange multiplier measure in problems with state constraints

DOI10.1134/S0012266115030106zbMath1318.49035OpenAlexW1997400617WikidataQ57550602 ScholiaQ57550602MaRDI QIDQ2352652

D. Yu. Karamzin, E. V. Zakharov

Publication date: 3 July 2015

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

Full work available at URL: https://doi.org/10.1134/s0012266115030106

zbMATH Keywords

state constraintscontinuityPontryagin maximum principleLagrange multiplier measure

Mathematics Subject Classification ID

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

Related Items (6)

On some properties of the shortest curve in a compound domain ⋮ Optimality conditions for linear-convex optimal control problems with mixed 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 ⋮ Regular approximations of the fastest motion of mobile robot under bounded state variables

Cites Work

• The maximum principle for optimal control problems with state constraints by R.V. Gamkrelidze: Revisited
• Differential stability in optimal control problems
• Properties of the Lagrange multipliers in the Pontryagin maximum principle for optimal control problems with state constraints
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