Optimal Natural Frames

Abstract

Problems of optimal control on Lie groups are of broad interest and application dating back to the early days of geometric control theory. We study a class of such problems defined on the special Euclidean group and demonstrate by appealing to reduction methods that the extremals in these problems admit special structure associated to the nonlinear Schrodinger equation.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2010
Accession Number
ADA533579

Entities

People

  • Eric W. Justh
  • P.S.Krishnaprasad

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Calculus Of Variations
  • Control Theory
  • Curvature
  • Differential Equations
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Geometry
  • Lie Groups
  • Mechanics
  • Military Research
  • Partial Differential Equations
  • Schrodinger Equation
  • Three Dimensional
  • Universities
  • Unmanned Aerial Vehicles

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Systems Analysis and Design