SINGULAR TIME OPTIMAL CONTROL.

Abstract

A slightly different definition of singular time optimal control from the usual sense is given here. A system is said to be singular if more than one optimal control exists for a given boundary condition. The characteristics of the newly defined singular control problem are studied where the system is assumed to be linear, time invariant and expressed by vector differential equations. The controls are Lebesgue measurable functions and belong to a compact convex set. It is demonstrated through example that Pontryagin's Minimum Principle is useful for the singular control problem. The minimum principle contains implicit information regarding the singular system. A standard procedure is shown to solve the singular problem. Methods of linear algebra are taken to analyze the system in this paper. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1969
Accession Number
AD0692476

Entities

People

  • Rufus Oldenburger
  • Sadao Hayano

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Algebra
  • Boundaries
  • Convex Sets
  • Differential Equations
  • Equations
  • Linear Algebra
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Calculus or Mathematical Analysis
  • Linear Algebra