A HJB-POD Approach to the Control of the Level Set Equation

DOI10.1007/978-3-319-58786-8_20OpenAlexW2753346578MaRDI QIDQ4637168

Maurizio Falcone, Giulia Fabrini, Alessandro Alla

Publication date: 18 April 2018

Published in: Model Reduction of Parametrized Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-58786-8_20

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A level set reduced basis approach to parameter estimation
• Viscosity solutions of Hamilton-Jacobi equations
• Level set methods and dynamic implicit surfaces
• POD-based feedback control of the Burgers equation by solving the evolutionary HJB equation
• Propagation of graphs in two-dimensional inhomogeneous media
• An Adaptive POD Approximation Method for the Control of Advection-Diffusion Equations
• An Efficient Policy Iteration Algorithm for Dynamic Programming Equations
• Optimization with PDE Constraints
• Optimal Control of the Propagation of a Graph in Inhomogeneous Media
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• Model Order Reduction Approaches for Infinite Horizon Optimal Control Problems via the HJB Equation
• HJB-POD-Based Feedback Design for the Optimal Control of Evolution Problems
• Optimal feedback control for undamped wave equations by solving a HJB equation
• Semi-Lagrangian Approximation Schemes for Linear and Hamilton—Jacobi Equations
• Error Analysis for POD Approximations of Infinite Horizon Problems via the Dynamic Programming Approach
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations

This page was built for publication: A HJB-POD Approach to the Control of the Level Set Equation