Accession Number : AD0642405

Title :   A GEOMETRIC DERIVATION OF TRANSVERSALITY AND CORNER CONDITIONS OF THE CALCULUS OF VARIATIONS VIA DYNAMIC PROGRAMMING,

Corporate Author : RAND CORP SANTA MONICA CALIF

Personal Author(s) : Dreyfus,S. E.

Report Date : OCT 1966

Pagination or Media Count : 19

Abstract : The report shows how certain well-known geometric facts concerning the gradient of a continuously differentiable function can be used, in conjunction with dynamic programming, to deduce transversality and corner conditions of the calculus of variations. The reader is assumed to be familiar with algebraic and geometric aspects of optimal control theory. (Author)

Descriptors :   (*CALCULUS OF VARIATIONS, *DYNAMIC PROGRAMMING), GEOMETRY, ALGEBRA, OPTIMIZATION, CONTROL, PROBABILITY

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE