Singular Perturbations and Singular Arcs I.
Technical rept. no. 2,
ARIZONA UNIV TUCSON DEPT OF MATHEMATICS
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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
- Numerical Mathematics