A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle

DOI10.1007/s10957-019-01623-7zbMath1435.49006OpenAlexW2994790354MaRDI QIDQ2302824

D. Yu. Karamzin, Aram V. Arutyunov

Publication date: 26 February 2020

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-019-01623-7

zbMATH Keywords

optimal controlmaximum principlestate constraintsnormalityregularity conditionsnondegeneracycontinuity of the Lagrange multiplier

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (14)

State Constraints, Higher Order Inward Pointing Conditions, and Neighboring Feasible Trajectories ⋮ Optimality conditions for linear-convex optimal control problems with mixed constraints ⋮ Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes ⋮ On normality in optimal control problems with state constraints ⋮ Normality and second-order optimality conditions in state-constrained optimal control problems with bounded minimizers ⋮ Well-posedness of the shooting algorithm for control-affine problems with a scalar state constraint ⋮ On Higher-Order State Constraints ⋮ Time-domain decomposition for mixed-integer optimal control problems ⋮ Optimization of a Perturbed Sweeping Process by Constrained Discontinuous Controls ⋮ On the optimal control of rate-independent soft crawlers ⋮ Gap phenomena and controllability in free end-time problems with active state constraints ⋮ Regular approximations of the fastest motion of mobile robot under bounded state variables ⋮ Nondegenerate Abnormality, Controllability, and Gap Phenomena in Optimal Control with State Constraints ⋮ A maximum principle for a time-optimal bilevel sweeping control problem

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