Abstract and Applied Analysis
Volume 2013 (2013), Article ID 827482, 4 pages
http://dx.doi.org/10.1155/2013/827482
Research Article

-Stability for Differential Systems Relative to Initial Time Difference

Peiguang Wang1 and Xiaowei Liu2

1College of Electronic and Information Engineering, Hebei University, Baoding 071002, China
2College of Mathematics and Computer Science, Hebei University, Baoding 071002, China

Received 22 March 2013; Accepted 22 April 2013

Academic Editor: Zhenkun Huang

Copyright © 2013 Peiguang Wang and Xiaowei Liu. 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

This paper investigates the relationship between an unperturbed differential system and a perturbed differential system that have initial time difference. Notions of -stability for differential systems with initial time difference are introduced, and stability criteria are formulated by using variation of parameter techniques.