Structural stability for time-optimal planar syntheses

Alberto Bressan, Benedetto Piccoli

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

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
Volume3
Issue number3
StatePublished - Sep 1 1997
Externally publishedYes

Fingerprint

Structural Stability
Synthesis
Feedback
Equivalence relation
Vector Field
Control System
Control systems
Family

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

Cite this

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Structural stability for time-optimal planar syntheses. / Bressan, Alberto; Piccoli, Benedetto.

In: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Application and Algorithm, Vol. 3, No. 3, 01.09.1997, p. 335-371.

Research output: Contribution to journalArticle

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