Singular Perturbations and Singular Arcs I.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 31, 1973
- Accession Number
- AD0770060
Entities
People
- Antony Jameson
- Robert E. O'malley Jr.
Organizations
- University of Arizona