Optimal control problems with oscillations, concentrations and discontinuities

DOI10.1016/j.automatica.2019.01.030zbMath1412.49073arXiv1807.04199OpenAlexW2963782881WikidataQ128380202 ScholiaQ128380202MaRDI QIDQ1737816

Didier Henrion, Tillmann Weisser, Martin Kružík

Publication date: 24 April 2019

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04199

zbMATH Keywords

optimizationoptimal controlfunctional analysis

Mathematics Subject Classification ID

Related Items (6)

Aggregated occupation measures and linear programming approach to constrained impulse control problems ⋮ Relaxation of functionals with linear growth: interactions of emerging measures and free discontinuities ⋮ Linear programming approach to optimal impulse control problems with functional constraints ⋮ Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities ⋮ Duality in optimal impulse control ⋮ A sequential quadratic Hamiltonian scheme to compute optimal relaxed controls

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Oscillations and concentrations in weak solutions of the incompressible fluid equations
• Weak lower semicontinuity by means of anisotropic parametrized measures
• Semi-definite relaxations for optimal control problems with oscillation and concentration effects
• Measures and LMIs for Impulsive Nonlinear Optimal Control
• Linear Programming Approach to Deterministic Infinite Horizon Optimal Control Problems with Discounting
• Optimization Problems With Concentration And Oscillation Effects: Relaxation Theory And Numerical Approximation
• Convex Duality and Nonlinear Optimal Control
• Nonlinear Optimal Control via Occupation Measures and LMI-Relaxations

This page was built for publication: Optimal control problems with oscillations, concentrations and discontinuities