Metric sub-regularity in optimal control of affine problems with free end state

DOI10.1051/cocv/2019046zbMath1448.49033OpenAlexW2960769417MaRDI QIDQ5126389

Nikolaĭ P. Osmolovskiĭ, Vladimir M. Veliov

Publication date: 16 October 2020

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2019046

zbMATH Keywords

optimal controlbang-bang controlPontryagin's maximum principlesecond-order optimality conditionsmetric regularityEuler discretizationaffine control problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational methods involving nonlinear operators (47J30) Set-valued and variational analysis (49J53) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items

Hölder regularity in bang-bang type affine optimal control problems ⋮ Strong and weak measurable optimal controls ⋮ Stability in Affine Optimal Control Problems Constrained by Semilinear Elliptic Partial Differential Equations ⋮ On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations ⋮ On the Accuracy of the Model Predictive Control Method ⋮ On the convergence of gradient projection methods for non-convex optimal control problems with affine system ⋮ On the solution stability of parabolic optimal control problems ⋮ Error estimates for Runge-Kutta schemes of optimal control problems with index 1 DAEs ⋮ On the strong subregularity of the optimality mapping in an optimal control problem with pointwise inequality control constraints ⋮ Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Discretization of semilinear bang-singular-bang control problems
• Convergence results for the discrete regularization of linear-quadratic control problems with bang-bang solutions
• Regularization and implicit Euler discretization of linear-quadratic optimal control problems with bang-bang solutions
• Higher-order numerical scheme for linear quadratic problems with bang-bang controls
• Euler discretization for a class of nonlinear optimal control problems with control appearing linearly
• Metric regularity properties in bang-bang type linear-quadratic optimal control problems
• Strong metric subregularity of mappings in variational analysis and optimization
• Metric Regularity and Stability of Optimal Control Problems for Linear Systems
• On Stability of Bang-Bang Type Controls
• High Order Discrete Approximations to Mayer's Problems for Linear Systems
• Lipschitzian Stability in Nonlinear Control and Optimization
• Implicit Functions and Solution Mappings
• Multiplier Methods for Nonlinear Optimal Control
• Set-valued analysis