@article {1998, title = {A generic classification of time-optimal planar stabilizing feedbacks}, journal = {SIAM J. Control Optim. 36 (1998) 12-32}, number = {SISSA;96/95/M}, year = {1998}, publisher = {SISSA Library}, abstract = {Consider the problem of stabilization at the origin in minimum time for a planar control system affine with respect to the control. For a family of generic vector fields, a topological equivalence relation on the corresponding time-optimal feedback synthesis was introduced in a previous paper [Dynamics of Continuous, Discrete and Impulsive Systems, 3 (1997), pp. 335--371]. The set of equivalence classes can be put in a one-to-one correspondence with a discrete family of graphs. This provides a classification of the global structure of generic time-optimal stabilizing feedbacks in the plane, analogous to the classification of smooth dynamical systems developed by Peixoto.}, doi = {10.1137/S0363012995291117}, url = {http://hdl.handle.net/1963/998}, author = {Alberto Bressan and Benedetto Piccoli} }