Universal formulas for feedback stabilization with respect to Minkowski balls

Michael Malisoff, Eduardo D. Sontag

Research output: Contribution to journalArticlepeer-review

46 Scopus citations


This note provides explicit algebraic stabilizing formulas for clf's when controls are restricted to certain Minkowski balls in Euclidean space. Feedbacks of this kind are known to exist by a theorem of Artstein, but the proof of Artstein's theorem is nonconstructive. The formulas are obtained from a general feedback stabilization technique and are used to construct approximation solutions to some stabilization problems.

Original languageEnglish (US)
Pages (from-to)247-260
Number of pages14
JournalSystems and Control Letters
Issue number4
StatePublished - Jul 20 2000

All Science Journal Classification (ASJC) codes

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


  • Constrained controls
  • Control-Lyapunov functions


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