Accession Number : AD0695803

Title :   THE OPTIMIZATION OF TRAJECTORIES OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Banks,H. T. ; Jacobs,Marc Q.

Report Date : OCT 1969

Pagination or Media Count : 66

Abstract : The aim in this paper is to examine a number of fundamental questions in the theory of optimal control of processes monitored by certain general systems of linear functional differential equations with finite memories. In the model the controls may appear in a very general nonlinear functional manner which permits one to consider retardations of a rather general character in the control variables. In particular, it proves a maximal principle for such systems. It considers existence questions in the class of admissible Borel measurable (resp. piecewise continuous, almost piecewise continuous) initial functions and controls. It also shows that certain solutions of an uncontrolled linear functional differential equation are piecewise analytic or quasi piecewise analytic. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), (*DIFFERENTIAL EQUATIONS, LINEAR SYSTEMS), FUNCTIONAL ANALYSIS, ANALYTIC FUNCTIONS, CONVEX SETS, MEASURE THEORY, TOPOLOGY, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE