Regularity of the Hamiltonian Along Optimal Trajectories

DOI10.1137/14099440XzbMath1321.49063arXiv1912.11863MaRDI QIDQ5501224

Michele Palladino, Richard B. Vinter

Publication date: 3 August 2015

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

Full work available at URL: https://arxiv.org/abs/1912.11863

zbMATH Keywords

optimal controlstate constraintsnecessary optimality conditionsdifferential inclusionsHamiltonianbounded variation

Mathematics Subject Classification ID

Regularity of solutions in optimal control (49N60) Ordinary differential inclusions (34A60) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (9)

\(L^{\infty }\) estimates on trajectories confined to a closed subset, for control systems with bounded time variation ⋮ The Hamilton Jacobi Equation For Optimal Control Problems with Discontinuous Time Dependence ⋮ Multifunctions of bounded variation ⋮ Normality and nondegeneracy of the maximum principle in optimal impulsive control under state constraints ⋮ Equi-Lipschitz minimizing trajectories for non coercive, discontinuous, non convex Bolza controlled-linear optimal control problems ⋮ A new variational inequality in the calculus of variations and Lipschitz regularity of minimizers ⋮ No infimum gap and normality in optimal impulsive control under state constraints ⋮ Gap phenomena and controllability in free end-time problems with active state constraints ⋮ Nondegenerate Abnormality, Controllability, and Gap Phenomena in Optimal Control with State Constraints

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