This book presents some facts and methods of the Mathematical Control Theory treated from the geometric point of view. The book is mainly based
on graduate courses given by the first coauthor in the years 2000-2001 at
the International School for Advanced Studies, Trieste, Italy. Mathematical
prerequisites are reduced to standard courses of Analysis and Linear Algebra
plus some basic Real and Functional Analysis. No preliminary knowledge of
Control Theory or Differential Geometry is required.