Structural stability for time-optimal planar syntheses

Alberto Bressan, Benedetto Piccoli

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


Consider the problem of reaching the origin in minimum time, for the control system ẋ = F(x) + G(x)u, |u(t)| ≤ 1, assuming F(0) = 0, x ∈ ℝ2. For a generic family of C3 vector fields F,G, we introduce an equivalence relation on the corresponding time-optimal feedback. We describe an algorithm to construct an optimal synthesis and give generic conditions in order to obtain the structural stability of feedbacks.

Original languageEnglish (US)
Pages (from-to)335-371
Number of pages37
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm
Issue number3
StatePublished - Sep 1 1997

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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