Stabilization of nonlinear systems in the plane

Research output: Contribution to journalArticle

173 Scopus citations

Abstract

It is shown that every small-time locally controllable system in the plane can (locally) be asymptotically stabilized by employing locally Hölder continuous feedback laws, as essentially was conjectured by E. Sontag. An explicit algorithm for the construction of such feedback laws is given.

Original languageEnglish (US)
Pages (from-to)169-175
Number of pages7
JournalSystems and Control Letters
Volume12
Issue number2
DOIs
StatePublished - Feb 1989

Keywords

  • Hölder continuous feedback
  • Lyapunov function
  • Stabilization
  • controllability
  • nonlinear control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)
  • Mechanical Engineering
  • Electrical and Electronic Engineering

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