%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