On General Problems with Higher Derivative Bounded State Variables.

Abstract

This paper is a sequel to an article concerning a canonical control problem involving state constraints in which the control enters in the second derivative of the constraint. Extensions of the results obtained there are developed herein for a general form of the control problem of Bolza with the above type of constraints. It is also shown that modified forms hold true for the relation H dot = H sub t and for the transversality relation usually obtained in problems of this type. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA046263

Entities

People

  • I. Bert Russak

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Continuity
  • Control Theory
  • Inequalities
  • Integrals
  • Intervals
  • Mathematics
  • Military Research
  • New York
  • Reasoning
  • Security
  • Sequences
  • Time Intervals
  • Virginia

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Operations Research