Periodic Orbits From Δ-Modulation of Stable Linear Systems.

Autor: Xia, Xiaohua, Zinober, Alan S. I.
Předmět:
Zdroj: IEEE Transactions on Automatic Control; Aug2004, Vol. 49 Issue 8, p1376-1380, 5p
Abstrakt: The Δ-modulated control of a single input, discrete time, linear stable system is investigated. The modulation direction is given by cTx where c ϵ 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 Δ-modulated orbit. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index