Stability rates for patchy vector fields

Fabio Ancona, Alberto Bressan

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This paper is concerned with the stability of the set of trajectories of a patchy vector field, in the presence of impulsive perturbations. Patchy vector fields are discontinuous, piecewise smooth vector fields that were introduced in Ancona and Bressan (1999) 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.

Original languageEnglish (US)
Pages (from-to)168-200
Number of pages33
JournalESAIM - Control, Optimisation and Calculus of Variations
Volume10
Issue number2
DOIs
StatePublished - Apr 2004

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization
  • Computational Mathematics

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