Nonuniqueness set and the problem of time-optimal motions in a velocity field (Q2251874)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonuniqueness set and the problem of time-optimal motions in a velocity field |
scientific article |
Statements
Nonuniqueness set and the problem of time-optimal motions in a velocity field (English)
0 references
15 July 2014
0 references
The author considers a time-optimal control problem for the transfer to the origin of motions in a smooth vector field for which the optimal control is continuous. It is shown that a control-trajectory pair satisfying the maximum principle is not optimal, if the trajectory passes through a so-called nonuniqueness point. The set of nonuniqueness points is described for a plane parallell velocity field with a symmetric or nonsymmetric profile.
0 references
time-optimal control
0 references
motion in a velocity field
0 references
nonuniqueness set
0 references
