Nonoccurrence of the Lavrentiev Phenomenon for Many Optimal Control Problems

DOI10.1137/050640370zbMath1131.49006OpenAlexW1965217675MaRDI QIDQ3440254

Zaslavski, Alexander J.

Publication date: 22 May 2007

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

Full work available at URL: https://doi.org/10.1137/050640370

zbMATH Keywords

Banach spaceoptimal control problemLavrentiev phenomenon

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27)

Related Items (8)

Generic existence of Lipschitzian solutions of optimal control problems without convexity assumptions ⋮ Regularity and necessary conditions for a Bolza optimal control problem ⋮ Generic nonoccurrence of the Lavrentiev phenomenon for a class of optimal control problems ⋮ Regularity of Solutions for the Autonomous Integrals of the Calculus of Variations ⋮ Infimum gaps for limit solutions ⋮ Minimum time problem with impulsive and ordinary controls ⋮ A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers ⋮ On a new necessary condition in the calculus of variations for Lagrangians that are highly discontinuous in the state and velocity

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