Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization

Details Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization

2001-11-09

arxiv.org/abs/math/0111107v1

Mathematics

Optimization and Control

22 pages

Scientific paper

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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