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|
|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
|Date:||04 / 01 / 2008|
|Time:||05:15pm - 06:15pm|