An eikonal equation with vanishing Lagrangian arising in global optimization

DOI10.1007/s00245-022-09953-1OpenAlexW4360980644MaRDI QIDQ2694478

Martino Bardi, Hicham Kouhkouh

Publication date: 3 April 2023

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.02561

zbMATH Keywords

global optimizationŁojasiewicz inequalityeikonal equationweak KAM theoryoccupational measureslong time behavior of solutionsergodic Hamilton-Jacobi equationexit-time control problem

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) PDEs in connection with control and optimization (35Q93) Systems theory; control (93-XX)

Related Items (2)

On the vanishing discount approximation for compactly supported perturbations of periodic Hamiltonians: the 1d case ⋮ A Viscous Ergodic Problem with Unbounded and Measurable Ingredients, Part 1: HJB Equation

Cites Work

• Asymptotic problems in optimal control with a vanishing Lagrangian and unbounded data
• Singularly perturbed control systems with noncompact fast variable
• Semiconcave functions, Hamilton-Jacobi equations, and optimal control
• Elementary symplectic topology and mechanics
• Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions
• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• The value function of singularly perturbed control systems
• Optimality principles and representation formulas for viscosity solutions of Hamilton-Jacobi equations. I: Equations of unbounded and degenerate control problems without uniqueness
• Bounded-from-below solutions of the Hamilton-Jacobi equation for optimal control problems with exit times: Vanishing lagrangians, eikonal equations, and shape-from-shading
• The value function of an asymptotic exit-time optimal control problem
• Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space
• Ergodic type Bellman equations of first order with quadratic Hamiltonian
• Weak KAM theorem on non compact manifolds
• Asymptotic solutions for large time of Hamilton-Jacobi equations in Euclidean \(n\) space
• A Generalized Newton Method for Homogenization of Hamilton--Jacobi Equations
• The vanishing discount problem for Hamilton–Jacobi equations in the Euclidean space
• FLUID DYNAMICAL FEATURES OF THE WEAK KAM THEORY
• Asymptotic solutions of Hamilton-Jacobi equations in Euclidean $n$ space
• Uniqueness Results for Second-Order Bellman--Isaacs Equations under Quadratic Growth Assumptions and Applications
• Ergodicity, stabilization, and singular perturbations for Bellman-Isaacs equations
• On ergodic stochastic control
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiens
• A Survey of partial differential equations methods in weak KAM theory
• Optimal Feedback Controls
• A consensus-based global optimization method for high dimensional machine learning problems
• The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems
• Ergodic Type Problems and Large Time Behaviour of Unbounded Solutions of Hamilton–Jacobi Equations
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: An eikonal equation with vanishing Lagrangian arising in global optimization