Efficient Methods to Solve High-Dimensional State-Dependent Optimal Control and Differential Game Problems

Abstract

We propose to develop state-of-the-art numerical methods to solve high-dimensional optimal controland di?erential game problems that arise in Naval applications and elsewhere. As we develop thesenumerical methods we will apply them to complex naval applications, such as pursuit-evasion games,automated landing systems for autonomous aircraft on ships, and controlling formation of autonomousvehicles. We will extend earlier work which was based on overcoming the curse of dimensionality forHamilton?Jacobi PDE s arising in control theory and di?erential games that utilized the Hopf formula.

Document Details

Document Type
DoD Grant Award
Publication Date
Jan 09, 2020
Source ID
N000142012093

Entities

People

  • Stanley Osher

Organizations

  • Office of Naval Research
  • United States Navy
  • University of California, Los Angeles

Tags

Readers

  • Data Mining and Knowledge Discovery.
  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)