Nearly time optimal stabilizing patchy feedbacks

Fabio Ancona, Alberto Bressan

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

We consider the time optimal stabilization problem for a nonlinear control system over(x, ̇) = f (x, u). Let T (y) be the minimum time needed to steer the system from the state y ∈ Rn to the origin, and call A (τ) the set of initial states that can be steered to the origin in time T (y) ≤ τ. Given any ε > 0, in this paper we construct a patchy feedback u = U (x) such that every solution of over(x, ̇) = f (x, U (x)), x (0) = y ∈ A (τ) reaches an ε-neighborhood of the origin within time T (y) + ε.

Original languageEnglish (US)
Pages (from-to)279-310
Number of pages32
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume24
Issue number2
DOIs
StatePublished - Jan 1 2007

All Science Journal Classification (ASJC) codes

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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