Accession Number : AD0489801

Title :   AN INVESTIGATION OF TWO SEMI-LINEAR PROBLEMS OF OPTIMUM CONTROL.

Descriptive Note : Master's thesis,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : Kennedy, William Joseph, Jr

Report Date : MAY 1966

Pagination or Media Count : 57

Abstract : Two problems are presented which are linear on two adjacent intervals but not on their union. In the first problem, a condition is found on t(1) and F which must be satisfied whenever x(T) is to be a maximum with y(T) fixed. In the second problem, conditions on F and t(1) are found which must be satisfied for x(T) to be a maximum for a fixed y(T) and for a fixed x(t sub 1). A numerical routine is developed which yields successive approximations to the maximum value of x(T). The basic theory of the methods is presented, and the problems are developed in the context of optimum control.

Descriptors :   (*CONTROL SEQUENCES, OPTIMIZATION), DIFFERENTIAL EQUATIONS, COMPUTER PROGRAMMING, MATRICES(MATHEMATICS), LINEAR SYSTEMS, NONLINEAR SYSTEMS, BOUNDARY VALUE PROBLEMS.

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE