Accession Number : AD0662745

Title :   EXISTENCE THEOREMS FOR OPTIMAL PROBLEMS WITH VECTOR VALUED COST FUNCTIONS.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I CENTER FOR DYNAMICAL SYSTEMS

Personal Author(s) : Olech,Czeslaw

Report Date : NOV 1967

Pagination or Media Count : 50

Abstract : The paper considers the following optimal control problem. Consider a control system (0.1) y dot = f(t,y,u) where f maps J sub o X Y X E into Y, J sub o = (a sub o, b sub o) is an interval, and Y,E are Euclidean spaces. By a solution of (0.1) is meant a triple (J,y,u), where J included in J sub o is an interval, y: J approaches Y is absolutely continuous, u: J approaches E is Lebesgue measurable, and y dot(t) = f(t,y(t),u(t)), u(t) epsilon U(t,y(t)) almost everywhere (a.e.) in J. The control domain U is a map from J sub o X Y into subsets of E.

Descriptors :   (*CONTROL, OPTIMIZATION), MAPPING(TRANSFORMATIONS), CONTROL SYSTEMS, CALCULUS OF VARIATIONS, BOUNDARY VALUE PROBLEMS, THEOREMS

Subject Categories : Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE