SUFFICIENT CONDITIONS FOR OPTIMAL CONTROL OF A GENERAL CLASS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS,

Abstract

Sufficient conditions for the optimal control of linear functional differential equations are presented. The linear process is of a very general type since hereditary effects are allowed in both the state-dependent terms and the control-dependent terms. In addition allowance is made for a general class of terminal conditions which may be specified in function space. Several special cases of the basic result are mentioned. The sufficient conditions are given for the case of differential-difference equations and for integro-differential equations. Reduction of the sufficient conditions to a nonclassical two point boundary value problem is also accomplished. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0706384

Entities

People

  • N. H. Mcclamroch

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Difference Equations
  • Differential Equations
  • Equations
  • Mathematical Analysis
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers