On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems

DOI10.1137/140981368zbMath1342.49057OpenAlexW1847606325WikidataQ57550592 ScholiaQ57550592MaRDI QIDQ2942288

D. Yu. Karamzin, Aram V. Arutyunov

Publication date: 20 August 2015

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/140981368

zbMATH Keywords

optimal controlmaximum principleLagrange multiplierLipschitz continuityHölder condition

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Optimality conditions for problems involving ordinary differential equations (49K15)

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On some properties of the shortest curve in a compound domain ⋮ On normality in optimal control problems with state constraints ⋮ On the strong local optimality for state-constrained control-affine problems ⋮ On Higher-Order State Constraints ⋮ Regular path-constrained time-optimal control problems in three-dimensional flow fields ⋮ On a few questions regarding the study of state-constrained problems in optimal control ⋮ Comments on the paper: ``On the relation between two approaches to necessary optimality conditions in problems with state constraints ⋮ 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

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