On First Order Necessary Conditions for Variational and Optimal Control Problems

Abstract

A general variational problem is considered which contains most control problems as special cases. Included are differential constraints as well as isoparametric and finite inequalities on both state and control variables. The method of M. R. Hestenes for proving first order necessary conditions is used to obtain similar conditions under weaker hypothesis, principally requiring Lebegue integrability of all functions with respect to time. It is then shown these results can be easily extended to include the problem with inequality constraints on the space variables independent of control variables.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1964
Accession Number
AD0601461

Entities

People

  • Theodore Guinn

Organizations

  • University of California, Los Angeles

Tags

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Statistical inference.
  • Structural Dynamics.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers