On Minimum Energy Control of Commutative Bilinear System.

Abstract

A minimum energy control problem is considered for commutative bilinear systems with and without terminal constraints. Optimal controls are shown to be constant vectors determined by the boundary conditions. Sufficient conditions are derived for uniqueness of the optimal control in the absence of a terminal constraint. A class of physical bilinear systems is discussed which posses the commutative property. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1977
Accession Number
ADA049500

Entities

People

  • Allan E. Pearson
  • K. C. Wei

Organizations

  • Brown University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerial Warfare
  • Air Force
  • Aircrafts
  • Angular Acceleration
  • Boundaries
  • Control Systems
  • Coordinate Systems
  • Engineering
  • Equations
  • Intervals
  • Particles
  • Power Series
  • Rhode Island
  • Scalar Functions
  • Terminals
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.