Euler discretization for a class of nonlinear optimal control problems with control appearing linearly
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Publication:1744911
DOI10.1007/s10589-017-9969-7zbMath1388.49018OpenAlexW2769302154MaRDI QIDQ1744911
Ursula Felgenhauer, Martin Seydenschwanz, Walter Alt
Publication date: 20 April 2018
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10589-017-9969-7
Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items (14)
Strong and weak measurable optimal controls ⋮ Essential boundedness and singularity in optimal control ⋮ On the strong subregularity of the optimality mapping in mathematical programming and calculus of variations ⋮ On the Accuracy of the Model Predictive Control Method ⋮ Gradient methods on strongly convex feasible sets and optimal control of affine systems ⋮ Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations ⋮ Finite element error estimates for one-dimensional elliptic optimal control by BV-functions ⋮ Error estimates for Runge-Kutta schemes of optimal control problems with index 1 DAEs ⋮ Metric sub-regularity in optimal control of affine problems with free end state ⋮ Error Analysis for the Implicit Euler Discretization of Linear-Quadratic Control Problems with Higher Index DAEs and Bang–Bang Solutions ⋮ On the Regularity of Mayer-Type Affine Optimal Control Problems ⋮ On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions ⋮ Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Mixed Control-State Constraints ⋮ Convergence Analysis for Approximations of Optimal Control Problems Subject to Higher Index Differential-Algebraic Equations and Pure State Constraints
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