The Lax-Friedrichs sweeping method for optimal control problems in continuous and hybrid dynamics
DOI10.1016/j.na.2005.01.061zbMath1224.65165OpenAlexW1968555238MaRDI QIDQ999945
Carmeliza Navasca, Chiu-Yen Kao, Stanley J. Osher
Publication date: 4 February 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2005.01.061
optimal controldynamic programmingviscosity solutionnumerical examplesHamiltonianboundary value problemhybrid systemGauss-SeidelHamilton-Jacobi PDELax-Friedrichs sweeping method
Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Hamilton-Jacobi equations (35F21)
Related Items
Cites Work
- Unnamed Item
- Systems governed by ordinary differential equations with continuous, switching and impulse controls
- Lax-Friedrichs sweeping scheme for static Hamilton-Jacobi equations
- Numerical computation of the optimal feedback law for nonlinear infinite time horizon control problems
- The Nonconvex Multidimensional Riemann Problem for Hamilton–Jacobi Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- Optimal Switching for Ordinary Differential Equations
- Markov Chain Approximations for Deterministic Control Problems with Affine Dynamics and Quadratic Cost in the Control
- A fast sweeping method for Eikonal equations
- Fast Sweeping Methods for Static Hamilton--Jacobi Equations
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
This page was built for publication: The Lax-Friedrichs sweeping method for optimal control problems in continuous and hybrid dynamics
