Discrete Systems

Attraction domains of the stationary points of the difference equation with switchings

R. Z. Abdullin

Baikal National University of Economics and Law, Irkutsk, Russia

Abstract: Consideration was given to the scalar difference equation of first order which is defined over an interval and has the right-hand side described by different continuous functions to the left and right of the switching point. Each of these functions has one stationary point. The domains of attraction and oscillatory solutions with an infinite number of switchings in the right-hand side were determined subject to the condition that they are attracted and lie to the left of the switching point.

PACS: 02.30.Ks

Presented by the member of Editorial Board: V. N. Bukov

Received: 16.01.2007

 English version: Automation and Remote Control, 2008, 69:3, 463–471

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