The role of singular trajectories in control theory is analysed in this
volume that contains about 60 exercieses and problems. A section is
devoted to the applications of singular trajectories to the optimisation
of batch reactors. The theoretical paart based on the Martinet case
concerns the singulatrity analysis of singular trajectories in
sub-Riemannian geometry. An algorithm is gibven to evaluate conjugate
points and a final chapter discusses open problems. The volume will
interest mathematicians and engineers.