Flow stability of patchy vector fields and robust feedback stabilization

Fabio Ancona, Alberto Bressan

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)1455-1476
Number of pages22
JournalSIAM Journal on Control and Optimization
Volume41
Issue number5
DOIs
StatePublished - Oct 13 2003

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics

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