Time-Optimal Control Problem for the Swing and the Ski
| dc.creator | Piccoli, Benedetto | |
| dc.date | 1994-11-03 | |
| dc.date.accessioned | 2026-07-07T09:13:31Z | |
| dc.date.available | 2026-07-07T09:13:31Z | |
| dc.description | This paper is concerned with a class of time-optimal control problems for the swing and the ski. We first consider the motion of a man standing on a swing. For simplicity, we neglect friction and air resistance and assume that the mass of the swinger is concentrated in his baricenter $B$. For the ski, we use the model considered by Aldo Bressan (1991), with a special approximation of the skier. Our main concern is the existence and the structure of time-optimal controls. As first step, we introduce an auxiliary control system with control entering linearly and show the relationships between this and the original system. We then perform a detailed study of the auxiliary system, using geometric techniques. In turn this provides accurate information on the time-optimal controls for the original system. | |
| dc.description | 26 pages, plain tex, no figures | |
| dc.identifier | https://arxiv.org/abs/funct-an/9411004 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9411004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152350 | |
| dc.subject | Functional Analysis | |
| dc.title | Time-Optimal Control Problem for the Swing and the Ski | |
| dc.type | text |