Existence and Lipschitz regularity of solutions to Bolza problems in optimal control

DOI10.1090/S0002-9947-09-04765-5zbMath1169.49001MaRDI QIDQ3394964

Elsa M. Marchini, Piermarco Cannarsa, Hélène Frankowska

Publication date: 11 September 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

optimal controlexistence of minimizersBolza problemLipschitz costateLipschitz optimal trajectory

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

Lipschitzianity of optimal trajectories for the Bolza optimal control problem, Regularity and necessary conditions for a Bolza optimal control problem, Lipschitz Continuity of Optimal Trajectories in Deterministic Optimal Control, Normality of the maximum principle for nonconvex constrained Bolza problems, Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems, Infimum gaps for limit solutions, Pointwise Second-order Necessary Conditions for Stochastic Optimal Controls, Part I: The Case of Convex Control Constraint, Second-Order Necessary Conditions for Stochastic Optimal Control Problems, Uniform boundedness for the optimal controls of a discontinuous, non-convex Bolza problem,

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