Accession Number:

AD0706387

Title:

THEORY OF EXTREMAL CONTROLS FOR LINEAR HEREDITARY PROCESSES,

Descriptive Note:

Corporate Author:

MICHIGAN UNIV ANN ARBOR COMPUTER INFORMATION AND CONTROL ENGINEERING

Personal Author(s):

Report Date:

1970-05-01

Pagination or Media Count:

25.0

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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE