PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Mary Anne Raymond.

Title:Controlling the ski, the swing, and swim-like motion in a perfect fluid
Seminar:Slow Pitch Seminar
Speaker:Alberto Bressan
Abstract:
A mechanical system can controlled by applying external forces, or by directly assigning the values of some of the coordinates as functions of time. This second approach is more natural in several practical cases, such as the control of a swing, a ski on a narrow trail, or the locomotion of a deformable body in an incompressible fluid. We will show that all these examples can be described by the same mathematical framework, involving a foliation on a Riemann manifold. The geometric properties of the foliation determine the algebraic form of of the dynamical equations, and the maneuvers which one needs to perform in order to control or stabilize the system.

Room Reservation Information

Room Number:MB106
Date:04 / 01 / 2008
Time:05:15pm - 06:15pm