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Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization

Fabio Ancona·Alberto Bressan
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Abstract

The paper is concerned with patchy vector fields, a class of discontinuous, piecewise smooth vector fields that were introduced in AB to study feedback stabilization problems. We prove the stability of the corresponding solution set w.r.t. a wide class of impulsive perturbations. These results yield the robusteness of patchy feedback controls in the presence of measurement errors and external disturbances.

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Fabio Ancona, Alberto Bressan. 2001-11-09. Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization. https://arxiv.org/abs/math/0111107

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