00882nas a2200121   4500008004300000245004500043210004500088260001700133520053500150100001800685700002100703856003600724       2004                        en_Ud  00aStability rates for patchy vector fields0 aStability rates for patchy vector fields  bEDP Sciences3 aThis paper is concerned with the stability of the set of trajectories of a patchy vector field, in the presence of impulsive perturbations. Patchy vector fields are discontinuous, piecewise smooth vector fields that were introduced in Ancona and Bressan (1999) to study feedback stabilization problems. For patchy vector fields in the plane, with polygonal patches in generic position, we show that the distance between a perturbed trajectory and an unperturbed one is of the same order of magnitude as the impulsive forcing term.1 aAncona, Fabio1 aBressan, Alberto  uhttp://hdl.handle.net/1963/2959