Flow Stability of Patchy Vector Fields and Robust Feedback Stabilization
Abstract
The paper is concerned with patchy vector fields, a class of discontinuous, piecewise smooth vector fields that were introduced by the authors 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 robustness of patchy feedback controls in the presence of measurement errors and external disturbances.
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Published In
SIAM Journal on Control and Optimization
Pages: 1455 - 1476
ISSN (online): 1095-7138
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Copyright © 2003 Society for Industrial and Applied Mathematics.
History
Published online: 26 July 2006
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