Stabilization of nonlinear systems in the plane

Research output: Contribution to journalArticlepeer-review

199 Scopus citations


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
Issue number2
StatePublished - Feb 1989


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

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Computer Science
  • Mechanical Engineering
  • Electrical and Electronic Engineering


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