This self-contained volume surveys three decades of mathematical control theory and at the same time describes how the work of Roger Brockett shaped and influenced its development.Nine survey articles written by leading experts in the field, who have also been closely associated with Roger Brockett at various stages in his career, treat the subject cohesively and in depth.This volume will provide an important reference for graduate students and researchers, as well as for mathematicians, engineers and scientists whose work involves concepts and the language of control and systems theory.