Title: Affine connection control systems
Detail: Invited talk for Math 2000, Canadian Mathematical Society meeting at McMaster University, Hamilton, Ontario, 2000/06/13

The affine connection formalism is a powerful one in the study of control theory for a large class of mechanical systems, namely those which are Lagrangian with Lagrangian equal to kinetic minus potential energy. The tools of affine differential geometry enable an investigation of some basic questions surrounding control theory for such systems, and topics such as controllability, optimal control, and feedback equivalence will be discussed.

No online version avaliable (but check this out).

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