This work gathers important and promising information results in subfields of nonlinear control theory, previously available in journals. It presents the state of the art of geometric methods, their applications optimal control, and feedback transformations. It aims to show how geometric control theory draws from other mathematical fields to create its own powerful tools.
"The volume's editors have made a concerted effort to elicit articles from the contributors that cover timely topics, from a broad perspective as opposed to focusing in specialized research problems of narrow interest. . ..this volume is an addendum to. . .monographs on nonlinear geometric control theory. "
Symplectic methods for optimization and control; singular trajectories, feedback equivalence and time optimal control problem; controllability of generic systems on surfaces; recent advances in the stabilization problem for low dimensional systems; asymptotic stabilization via homogeneous approximation; critical Hamiltonians and feedback invariants; optimal control problems on lie groups - crossroads between geometry and mechanics; nonlinear control and combinatorics of words; feedback classification of nonlinear control systems on R2R3; time-optinal feedback control for nonlinear systems - a geometric approach; qualitative behaviour control problem and stabilization of dynamical systems; an introduction to the co-ordinate-free maximum principle.