Accession Number:

AD0770060

Title:

Singular Perturbations and Singular Arcs I.

Descriptive Note:

Technical rept. no. 2,

Corporate Author:

ARIZONA UNIV TUCSON DEPT OF MATHEMATICS

Report Date:

1973-10-31

Pagination or Media Count:

30.0

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

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE