%0 Journal Article %J SIAM J. Control Optim. 36 (1998) 12-32 %D 1998 %T A generic classification of time-optimal planar stabilizing feedbacks %A Alberto Bressan %A Benedetto Piccoli %X 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. %B SIAM J. Control Optim. 36 (1998) 12-32 %I SISSA Library %G en %U http://hdl.handle.net/1963/998 %1 2858 %2 Mathematics %3 Functional Analysis and Applications %$ Made available in DSpace on 2004-09-01T12:41:28Z (GMT). No. of bitstreams: 0\\n Previous issue date: 1995 %R 10.1137/S0363012995291117