Lax-Oleinik-type formulas and efficient algorithms for certain high-dimensional optimal control problems (Q6575313)

scientific article; zbMATH DE number 7883809

Language	Label	Description	Also known as
English	Lax-Oleinik-type formulas and efficient algorithms for certain high-dimensional optimal control problems	scientific article; zbMATH DE number 7883809

Statements

instance of

scholarly article

0 references

title

Lax-Oleinik-type formulas and efficient algorithms for certain high-dimensional optimal control problems (English)

0 references

0 references

0 references

0 references

Communications on Applied Mathematics and Computation

0 references

publication date

19 July 2024

0 references

zbMATH Keywords

optimal control

0 references

Hamilton-Jacobi partial differential equations

0 references

grid-free numerical methods

0 references

high dimensions

0 references

field-programmable gate arrays (FPGAs)

0 references

MaRDI profile type

Publication

0 references

cites work

Analytical solution of a linear quadratic optimal control problem with control value constraints

0 references

The Max-Plus Finite Element Method for Solving Deterministic Optimal Control Problems: Basic Properties and Convergence Analysis

0 references

An Efficient DP Algorithm on a Tree-Structure for Finite Horizon Optimal Control Problems

0 references

Error Analysis for POD Approximations of Infinite Horizon Problems via the Dynamic Programming Approach

0 references

Deep neural networks algorithms for stochastic control problems on finite horizon: numerical applications

0 references

Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

0 references

Q3286740

0 references

An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations

0 references

Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers

0 references

A Duality Approach for Solving Control-Constrained Linear-Quadratic Optimal Control Problems

0 references

Efficient MPC optimization using Pontryagin's minimum principle

0 references

On Convex Finite-Dimensional Variational Methods in Imaging Sciences and Hamilton--Jacobi Equations

0 references

Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton-Jacobi PDEs

0 references

Overcoming the curse of dimensionality for some Hamilton-Jacobi partial differential equations via neural network architectures

0 references

On Decomposition Models in Imaging Sciences and Multi-time Hamilton--Jacobi Partial Differential Equations

0 references

On some neural network architectures that can represent viscosity solutions of certain high dimensional Hamilton-Jacobi partial differential equations

0 references

On Hamilton-Jacobi PDEs and image denoising models with certain nonadditive noise

0 references

Algorithms for overcoming the curse of dimensionality for certain Hamilton-Jacobi equations arising in control theory and elsewhere

0 references

Faster Convergence Rates of Relaxed Peaceman-Rachford and ADMM Under Regularity Assumptions

0 references

On the global and linear convergence of the generalized alternating direction method of multipliers

0 references

Tensor Decomposition Methods for High-dimensional Hamilton--Jacobi--Bellman Equations

0 references

A game representation for a finite horizon state constrained continuous time linear regulator problem

0 references

Max-plus fundamental solution semigroups for optimal control problems

0 references

A Max-Plus-Based Algorithm for a Hamilton--Jacobi--Bellman Equation of Nonlinear Filtering

0 references

Suboptimal feedback control of PDEs by solving HJB equations on adaptive sparse grids

0 references

On Alternating Direction Methods of Multipliers: A Historical Perspective

0 references

Solving high-dimensional partial differential equations using deep learning

0 references

A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations

0 references

Deep Neural Networks Algorithms for Stochastic Control Problems on Finite Horizon: Convergence Analysis

0 references

Deep backward schemes for high-dimensional nonlinear PDEs

0 references

Spectral method for constrained linear-quadratic optimal control

0 references

Weighted ENO Schemes for Hamilton--Jacobi Equations

0 references

Sympnets: intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems

0 references

Robust Feedback Control of Nonlinear PDEs by Numerical Approximation of High-Dimensional Hamilton--Jacobi--Isaacs Equations

0 references

Polynomial Approximation of High-Dimensional Hamilton--Jacobi--Bellman Equations and Applications to Feedback Control of Semilinear Parabolic PDEs

0 references

Mitigating the curse of dimensionality: sparse grid characteristics method for optimal feedback control and HJB equations

0 references

Intelligent optimal control of robotic manipulators using neural networks

0 references

Q4002582

0 references

HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems

0 references

A new scalable algorithm for computational optimal control under uncertainty

0 references

A Curse-of-Dimensionality-Free Numerical Method for Solution of Certain HJB PDEs

0 references

Max-plus methods for nonlinear control and estimation.

0 references

The Principle of Least Action and Fundamental Solutions of Mass-Spring and N-Body Two-Point Boundary Value Problems

0 references

Convergence Rate for a Curse-of-Dimensionality-Free Method for a Class of HJB PDEs

0 references

Adaptive Deep Learning for High-Dimensional Hamilton--Jacobi--Bellman Equations

0 references

High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations

0 references

LQ tracking controls with fixed terminal states and their application to receding horizon controls

0 references

On a Hamilton-Jacobi-Bellman approach for coordinated optimal aircraft trajectories planning

0 references

Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems

0 references

Variational Analysis

0 references

An efficient sequential linear quadratic algorithm for solving nonlinear optimal control problems

0 references

DGM: a deep learning algorithm for solving partial differential equations

0 references

Efficient computation of optimal actions

0 references

Perspectives on characteristics based curse-of-dimensionality-free numerical approaches for solving Hamilton-Jacobi equations

0 references

A max-plus based fundamental solution for a class of discrete time linear regulator problems

0 references

Actor-Critic Method for High Dimensional Static Hamilton--Jacobi--Bellman Partial Differential Equations based on Neural Networks

0 references

Identifiers

zbMATH Open document ID

1543.35078

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

10.1007/S42967-024-00371-4

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6575313