Accession Number : AD0706387

Title :   THEORY OF EXTREMAL CONTROLS FOR LINEAR HEREDITARY PROCESSES,

Corporate Author : MICHIGAN UNIV ANN ARBOR COMPUTER INFORMATION AND CONTROL ENGINEERING

Personal Author(s) : McClamroch,N. H.

Report Date : MAY 1970

Pagination or Media Count : 25

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)

Descriptors :   (*CONTROL SYSTEMS, MATHEMATICAL MODELS), LINEAR SYSTEMS, DIFFERENTIAL EQUATIONS, DIFFERENCE EQUATIONS, INTEGRAL EQUATIONS, OPTIMIZATION, THEOREMS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE