Optimal Control of Level Set Dynamics Involved by PDE Systems

Abstract

We have attacked the problem of optimally driving the level sets associated with the solution of a Hamilton-Jacobi equation by relying on an approximation scheme based on the extended Ritz method. The complete description of such an approach is illustrated in Section 2. In Section 3, we will describe an approach to the control of the normal flow equation by using either velocity field or source term. Such results are based on a different control paradigm as compared with that of Section 2. More specifically, we deal with stabilizing feedback controllers, all provided with a proof of stability.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 30, 2019
Accession Number
AD1077636

Entities

People

  • Angelo Alessandri

Organizations

  • University of Genoa

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Neural Networks
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Programming
  • Computers
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Geometry
  • Kalman Filters
  • Maglev
  • Magnetic Fields
  • Mathematical Filters
  • Mechanical Engineering
  • Navier Stokes Equations
  • Observers
  • Partial Differential Equations
  • Physics Laboratories
  • Stratified Fluids
  • Surface Tension

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Systems Analysis and Design