Second-Order Optimality Conditions for Singular Pontryagin Local Minimizers

DOI10.1080/01630563.2014.908210zbMath1295.49014OpenAlexW2061713305MaRDI QIDQ2877751

Zuhra Mingaleeva, Ilya A. Shvartsman

Publication date: 25 August 2014

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2014.908210

zbMATH Keywords

optimal controlsingular controlsecond-order necessary optimality conditionsunconstrained nonlinear Mayer problem

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (2)

Second-order optimality conditions for singular extremals in optimal control problems with equality endpoint constraints ⋮ On the SQH Scheme to Solve Nonsmooth PDE Optimal Control Problems

Cites Work

• Unnamed Item
• Perturbations of extremal problems with constraints and necessary optimality conditions
• New approximation method in the proof of the Maximum Principle for nonsmooth optimal control problems with state constraints
• A simple `finite approximations' proof of the Pontryagin maximum principle under reduced differentiability hypotheses
• High Order Necessary Conditions for Optimality

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