The Geometry of Second Order Control Systems

Thursday, April 30, 1998 - 9:30am - 10:30am
Keller 3-180
John Baillieul (Boston University)
In this talk I shall I shall present some recent work on a favorite topic--- averaging theory for controlled mechanical systems with oscillatory inputs. Some particular points on which I hope to touch are:

The geometric distinction between veolicity controlled and acceleration controlled mechanical systems,
Geometric conditions for stable response to oscillatory forcing,
Interesting physical examples, and, time permitting,
Scale-invariance of the effects of oscillatory control.

I have chosen to emphasize these points because I believe they can be related in various ways to work of colleagues attending the workshop.