Stabilization of nonlinear systems with limited information feedback

Daniel Liberzon, João P. Hespanha

Research output: Contribution to journalArticlepeer-review


This note is concerned with the problem of stabilizing a nonlinear continuous-time system by using sampled encoded measurements of the state. We demonstrate that global asymptotic stabilization is possible if a suitable relationship holds between the number of values taken by the encoder, the sampling period, and a system parameter, provided that a feedback law achieving input-to-state stability with respect to measurement errors can be found. The issue of relaxing the latter condition is also discussed.

Original languageEnglish (US)
Pages (from-to)910-915
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number6
StatePublished - Jun 2005


  • Asymptotic stability
  • Encoding
  • Input-to-state stability
  • Limited information
  • Measurement errors
  • Nonlinear system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering


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