Optimal Syntheses for Control Systems on 2-D Manifolds

From the reviews: "This book provides an excellent illustration of concepts and methods of geometric optimal control at work. ... This book is a welcome addition to a number of texts that treat the mathematical aspects of control theory from a geometric point of view ... . accessible to the advanced, mathematically inclined graduate student and rewarding in their results. They provide plentiful and excellent material for a mathematically oriented graduate course on the topic ... ." (Heinz Schaettler, SIAM Reviews, Vol. 47 (3), 2005)

• Introduction.- Geometric Control.- Time Optimal Synthesis for 2-D Systems.- Generic Properties of the Minimum Time Function.- Extremal Synthesis.- Projection Singularities.- A. Some Technical Proofs of Chapter 2.- B. Bidimensional Sources.- References.- Index.