Accession Number : AD0679655

Title :   A NEW NECESSARY CONDITION OF OPTIMALITY FOR SINGULAR CONTROL PROBLEMS.

Descriptive Note : Technical rept.,

Corporate Author : HARVARD UNIV CAMBRIDGE MASS DIV OF ENGINEERING AND APPLIED PHYSICS

Personal Author(s) : Jacobson,D. H.

Report Date : NOV 1968

Pagination or Media Count : 34

Abstract : A variation in the form of a rectangular pulse of short duration, is introduced into the singular control function. The technique of Differential Dynamic Programming is used to obtain an expression for the change in cost produced by the control variation, and a new necessary condition of optimality is deduced by requiring that this change in cost be non-negative. When terminal equality constraints are present, the control variation takes the form of a rectangular pulse followed by a 'special variation' which is chosen to keep the terminal equality constraints satisfied to first-order. Simple control problems are used to illustrate the non-equivalence of the new necessary condition and the generalized Legendre-Clebsch condition. (Author)

Descriptors :   (*CONTROL SYSTEMS, OPTIMIZATION), DYNAMIC PROGRAMMING, PULSES, INEQUALITIES, TRAJECTORIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE