On Bolza optimal control problems with constraints

DOI10.3934/dcdsb.2009.11.629zbMath1161.49016OpenAlexW2068518832MaRDI QIDQ1019215

Hélène Frankowska, Piermarco Cannarsa, Elsa M. Marchini

Publication date: 2 June 2009

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2009.11.629

zbMATH Keywords

optimal controlexistence of minimizersBolza probleminterior approximation of constrained trajectoriesLipschitz regularity of optimal trajectoriesstate contraints

Mathematics Subject Classification ID

Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (5)

Regularity and necessary conditions for a Bolza optimal control problem ⋮ A relaxation result for state constrained inclusions in infinite dimension ⋮ Distance estimates for state constrained trajectories of infinite dimensional differential inclusions ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem,

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