Stability Rates for Patchy Vector Fields

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dc.creatorAncona, Fabio
dc.creatorBressan, Alberto
dc.date2001-11-09
dc.date.accessioned2026-07-07T04:44:29Z
dc.date.available2026-07-07T04:44:29Z
dc.descriptionThe paper is concerned with the stability of the set of trajectories of a vector field, in the presence of impulsive perturbations. Patchy vector fields are discontinuous, piecewise smooth vector fields that were introduced in AB 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.
dc.description37 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0111109
dc.identifierhttp://arxiv.org/abs/math/0111109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62609
dc.subjectOptimization and Control
dc.subject34 A, 34 D, 49 E, 93 D
dc.titleStability Rates for Patchy Vector Fields
dc.typetext

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