THE EFFECTS OF STATE VARIABLE DISCONTINUITIES IN THE SOLUTION OF VARIATIONAL PROBLEMS,
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. Steepest-ascent 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 07, 1964
- Accession Number
- AD0602480
Entities
People
- Rollyn G. Graham
Organizations
- The Aerospace Corporation