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A generic classification of time-optimal planar stabilizing feedbacks

TitleA generic classification of time-optimal planar stabilizing feedbacks
Publication TypeJournal Article
Year of Publication1998
AuthorsBressan, A, Piccoli, B
JournalSIAM J. Control Optim. 36 (1998) 12-32
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.

URLhttp://hdl.handle.net/1963/998
DOI10.1137/S0363012995291117

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