Time-Optimal Control Problem for the Swing and the Ski

Details Time-Optimal Control Problem for the Swing and the Ski Time-Optimal Control Problem for the Swing and the Ski

1994-11-03

arxiv.org/abs/funct-an/9411004v1

Mathematics

Functional Analysis

26 pages, plain tex, no figures

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Time-Optimal Control Problem for the Swing and the Ski does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Time-Optimal Control Problem for the Swing and the Ski, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Time-Optimal Control Problem for the Swing and the Ski will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-569887