
Accession Number : AD0602480
Title : THE EFFECTS OF STATE VARIABLE DISCONTINUITIES IN THE SOLUTION OF VARIATIONAL PROBLEMS,
Corporate Author : AEROSPACE CORP EL SEGUNDO CALIF
Personal Author(s) : Graham,Rollyn G.
Report Date : 07 JUL 1964
Pagination or Media Count : 34
Abstract : Some necessary, but not sufficient, conditions for an extremal solution are developed for two types of variational problems in which state variable discontinuities are permitted. The types of problems are characterized by the fact that the magnitudes of the discontinuities are defined by specified relationships. The necessary conditions result in discontinuities in the Lagrange multipliers at the points of discontinuity in the state variables. Steepestascent methods are described for solving problems which occur in engineering practice. Two analytical example problems, one with both the magnitude and occurrence of the discontinuity defined and one with only the magnitude defined, are presented and solved by the indirect methods of the calculus of variations. (Author)
Descriptors : (*CALCULUS OF VARIATIONS, THEORY), DIFFERENTIAL EQUATIONS, APPLIED MATHEMATICS, ENGINEERING, GUIDED MISSILE TRAJECTORIES, OPTIMIZATION, STAGING
Distribution Statement : APPROVED FOR PUBLIC RELEASE