THEORY OF EXTREMAL CONTROLS FOR LINEAR HEREDITARY PROCESSES,

Abstract

A study is made of two classes of very general linear hereditary processes which are subject to controlling actions. Several results, including a representation for solutions of such systems, are presented. Under different hypotheses on the admissible controls the set of attainability is shown to be convex and compact. In each case necessary and sufficient conditions, in the form of a maximum principle, are given in order that a control be extremal. Brief consideration is given to the subject of optimal controls. The special cases of differential-difference equations and integro-differential equations are considered as an application of the general results. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0706387

Entities

People

  • N. H. Mcclamroch

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Equations
  • Hypotheses
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.