The interplay between geometry and variational problems is a theme which goes back to the work of Lagrange. The problems posed by optimal control theory, mathematical physics and differential geometry have all led to the study of constrained variational problems from an essentially geometric point of view. The Pontryagin Maximum Principle, the Dirac Theory of Constraints and the Griffiths-Bryant approach to geometric variational problems may all be thought of as methods for extracting the geometric content of a constrained variational problem. The purpose of this workshop was to bring together practitioners from these various fields and to explore other applications of geometric ideas and techniques in non-linear control theory.