Numerical solution to optimal feedback control by dynamic programming approach: a local approximation algorithm
type: Item
instance of: scholarly article
title: Numerical solution to optimal feedback control by dynamic programming approach: a local approximation algorithm
zbMATH Open document ID: 1380.49031
author: Bao-Zhu Guo
author: Tao-Tao Wu
published in: Journal of Systems Science and Complexity
publication date: 2018-02-20T00:00:00Z
Mathematics Subject Classification ID: 49L20
Mathematics Subject Classification ID: 49M25
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 6841292
zbMATH Keywords: curse of dimensionality
zbMATH Keywords: Hamilton-Jacobi-Bellman equation
zbMATH Keywords: optimal feedback control
zbMATH Keywords: upwind finite difference
zbMATH Keywords: viscosity solutions
MaRDI profile type: Publication
full work available at URL: s11424-017-5149-1
OpenAlex ID: W2611165244
cites work: Q3149379
cites work: Q4023802
cites work: Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
cites work: Viscosity Solutions of Hamilton-Jacobi Equations
cites work: Two Approximations of Solutions of Hamilton-Jacobi Equations
cites work: An efficient algorithm for Hamilton-Jacobi equations in high dimension
cites work: High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
cites work: Q4657288
cites work: A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
cites work: A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
cites work: The viability kernel algorithm for computing value functions of infinite horizon optimal control problems
cites work: Q5292025
cites work: Fast Sweeping Algorithms for a Class of Hamilton--Jacobi Equations
cites work: Ordered upwind methods for static Hamilton–Jacobi equations
cites work: Convergence of the optimal feedback policies in a numerical method for a class of deterministic optimal control problems
cites work: Q3159215
cites work: Q4004190
cites work: Application of viscosity solutions of infinite-dimensional Hamilton- Jacobi-Bellman equations to some problems in distributed optimal control
cites work: A Viscosity Approach to Infinite-Dimensional Hamilton--Jacobi Equations Arising in Optimal Control with State Constraints
cites work: Q4255599
cites work: Max-plus methods for nonlinear control and estimation.
cites work: Convergence Rate for a Curse-of-dimensionality-Free Method for Hamilton–Jacobi–Bellman PDEs Represented as Maxima of Quadratic Forms
cites work: Convergence Rate for a Curse-of-Dimensionality-Free Method for a Class of HJB PDEs
cites work: Approximation of optimal feedback control: a dynamic programming approach
cites work: Q3661107
cites work: An upwind finite-difference method for the approximation of viscosity solutions to Hamilton-Jacobi-Bellman equations
cites work: Numerical solution to the optimal feedback control of continuous casting process
cites work: A new algorithm for finding numerical solutions of optimal feedback control
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Discrete time high-order schemes for viscosity solutions of Hamilton- Jacobi-Bellman equations
cites work: An introduction to applied optimal control
cites work: Dynamic programming approach to the numerical solution of optimal control with paradigm by a mathematical model for drug therapies of HIV/AIDS
DOI: 10.1007/S11424-017-5149-1
description: scientific article; zbMATH DE number 6841292