Accession Number : AD0770060

Title :   Singular Perturbations and Singular Arcs I.

Descriptive Note : Technical rept. no. 2,

Corporate Author : ARIZONA UNIV TUCSON DEPT OF MATHEMATICS

Personal Author(s) : O'Malley,Robert E. , Jr. ; Jameson,Antony

Report Date : 31 OCT 1973

Pagination or Media Count : 30

Abstract : Singular perturbation theory is applied to obtain the asymptotic solution for the nearly singular optimal control problem of a constant linear system in a finite time interval. In the limit as the control cost is reduced to zero, the initial control is found to have an impulse-like behavior, while the outer solution agrees asymptotically with the familiar solution for a singular arc. (Author)

Descriptors :   (*Control theory, Linear systems), Perturbation theory, Partial differential equations, Numerical integration, Optimization

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE