Optimal control of systems with discontinuous differential equations

DOI10.1007/s00211-009-0262-2zbMath1183.49032OpenAlexW2039566400MaRDI QIDQ2267766

Mihai Anitescu, David E. Stewart

Publication date: 2 March 2010

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0262-2

zbMATH Keywords

differential systems with a discontinuous right-hand sideoptimal control of mechanical systems with Coulomb frictionsmoothed approximations

Mathematics Subject Classification ID

Related Items (8)

Smoothing and regularization strategies for optimization of hybrid dynamic systems ⋮ A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs ⋮ A sweeping gradient method for ordinary differential equations with events ⋮ The time-freezing reformulation for numerical optimal control of complementarity Lagrangian systems with state jumps ⋮ Adjoint sensitivity analysis of hybrid multibody dynamical systems ⋮ Necessary optimality conditions for a class of impulsive and switching systems ⋮ Convergence of continuous approximations for discontinuous ODEs ⋮ Non-degenerate maximum principle for optimal control problems with discontinuous right-hand side

Uses Software

• LOQO
• AMPL

Cites Work

• On systems of ordinary differential equations with measures as controls
• A high accuracy method for solving ODEs with discontinuous right-hand side
• Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions
• A maximum principle for differential inclusion problems with state constraints
• Converging multistep methods for initial value problems involving multivalued maps
• Nonsmooth approach to optimization problems with equilibrium constraints. Theory, applications and numerical results
• Parametric sensitivity functions for hybrid discrete/continuous systems
• Hidden Discontinuities and Parametric Sensitivity Calculations
• Computation of time-optimal controls applied to rigid manipulators with friction
• The Maximum Principle under Minimal Hypotheses
• Optimal Control and the True Hamiltonian
• Brachistochrone with Coulomb Friction
• Time-optimal control of a single-DOF mechanical system with friction
• The Maximum Principle for an Optimal Solution to a Differential Inclusion with End Points Constraints
• On the Simulation and Control of Some Friction Constrained Motions
• A numerical method for friction problems with multiple contacts
• Minimum‐time control of systems with Coulomb friction: near global optima via mixed integer linear programming
• On the discontinuity of the costates for optimal control problems with Coulomb friction
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal control of systems with discontinuous differential equations