A Penalty Function Proof of the Maximum Principle.

Abstract

In this paper we present a penalty function proof of the maximum principle for relaxed optimal controls which we feel is simpler than the standard proofs. The proof is also valid for ordinary controls that are solutions of the relaxed problem. We do not utilize the separation theorem for convex sets and the Brouwer fixed point theorem or its equivalent. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1975
Accession Number
ADA020663

Entities

People

  • Leonard Berkovitz

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Algebra
  • Convex Sets
  • Mathematical Analysis
  • Mathematics
  • Point Theorem
  • Standards
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Life Cycle Cost Analysis
  • Mathematical Modeling and Probability Theory.