Discrete Dynamics in Nature and Society
Volume 2005 (2005), Issue 3, Pages 215-226
Stability of difference analogue of linear mathematical inverted
Department of Higher Mathematics, Donetsk State University of Management, Chelyuskintsev 163-a, Donetsk 83015, Ukraine
Received 3 May 2005; Revised 4 July 2005
Copyright © 2005 L. Shaikhet. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
A sufficient condition to preserve the property of asymptotic
stability for a difference analogue of the linear mathematical
inverted pendulum is obtained.