Title: Geometric low-order controllability conditions
Detail: Department of Mathematics & Statistics, Queen's University, 2001/02/02

Controllability theory for control systems deals with the description of the set of states reachable, using the controls, from an initial state. This appears to be a difficult description to obtain, although significant progress has been made.

After understanding what a ``solution'' of the problem might look like, the status the current state of the art will be reviewed. The first-order conditions for controllability are currently understood. A geometric approach to the second-order conditions will be proposed, and preliminary results will be given.

No online version avaliable.

Andrew D. Lewis (andrew at mast.queensu.ca)