International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 34569, 6 pages

Time-dependent vector stabilization

Sergey Nikitin

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.


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.