Fading memory and stability

Guoqiang Zang, Pablo A. Iglesias

Research output: Contribution to journalArticle

Abstract

The conditions under which discrete-time nonlinear affine systems possess fading memory are explored. A sufficient condition is given based on discrete-time Lyapunov theory; whereas a necessary condition is provided based on the relationship between the stability and the continuity of this system.

Original languageEnglish (US)
Pages (from-to)489-502
Number of pages14
JournalJournal of the Franklin Institute
Volume340
Issue number6-7
DOIs
StatePublished - Sep 1 2004

Keywords

  • Exponential stability
  • Fading memory
  • Lyapunov theory
  • Nonlinear system

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics

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