International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 34569, 6 pages
doi:10.1155/IJMMS/2006/34569
Time-dependent vector stabilization
Department of Mathematics and Statistics, Arizona State University, Tempe 85287-1804, USA
Received 1 February 2005; Revised 13 April 2006; Accepted 25 June 2006
Copyright © 2006 Sergey Nikitin. 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.
Abstract
The paper presents necessary and sufficient conditions for a
single input system defined by a time-dependent vector to be
stabilized by a linear feedback. The paper employs a new technique
based on averaging along a moving time interval.