Quantization, time delays, and nonlinear stabilization

Research output: Contribution to journalArticlepeer-review


The purpose of this note is to demonstrate that a unified study of quantization and delay effects in nonlinear control systems is possible by merging the quantized feedback control methodology recently developed by the author and the small-gain approach to the analysis of functional differential equations with disturbances proposed earlier by Teel. We prove that under the action of a robustly stabilizing feedback controller in the presence of quantization and time delays satisfying suitable conditions, solutions of the closed-loop system starting in a given region remain bounded and eventually enter a smaller region. We present several versions of this result and show how it enables global asymptotic stabilization via a dynamic quantization strategy.

Original languageEnglish (US)
Pages (from-to)1190-1195
Number of pages6
JournalIEEE Transactions on Automatic Control
Issue number7
StatePublished - Jul 2006


  • Input-to-state stability
  • Nonlinear system
  • Quantized control
  • Small-gain condition
  • Time delays

ASJC Scopus subject areas

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


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