publication . Article . 2004

Periodic orbits from Δ-modulation of stable linear systems

Xia, X.; Zinober, A.;
Open Access English
  • Published: 01 Jan 2004
  • Publisher: Institute of Electrical and Electronics Engineers
  • Country: United Kingdom
Abstract
The �-modulated control of a single input, discrete time, linear stable system is investigated. The modulation direction is given by cTx where c �Rn/{0} is a given, otherwise arbitrary, vector. We obtain necessary and sufficient conditions for the existence of periodic points of a finite order. Some concrete results about the existence of a certain order of periodic points are also derived. We also study the relationship between certain polyhedra and the periodicity of the �-modulated orbit.\ud \ud
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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