Global stabilization of linear discrete-time systems with bounded feedback

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Abstract

This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less than or equal to one. The proof provides in principle an algorithm for the construction of such feedback laws, which can be implemented either as cascades or as parallel connections ("single hidden layer neural networks") of simple saturation functions.

Original languageEnglish (US)
Pages (from-to)273-281
Number of pages9
JournalSystems and Control Letters
Volume30
Issue number5
DOIs
StatePublished - Jun 1997

All Science Journal Classification (ASJC) codes

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

Keywords

  • Global stabilization
  • Linear discrete-time systems
  • Saturated feedback

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