Journal of Applied Mathematics
Volume 2012 (2012), Article ID 945240, 11 pages
http://dx.doi.org/10.1155/2012/945240
Research Article

Robust Stability of Uncertain Systems over Network with Bounded Packet Loss

Yafeng Guo1 and Tianhong Pan2

1Department of Control Science and Engineering, School of Electronics and Information Engineering, Tongji University, Shanghai 201804, China
2Department of Chemical and Materials Engineering, University of Alberta, Edmonton, AB, Canada T6G 2G6

Received 26 February 2012; Revised 20 April 2012; Accepted 23 April 2012

Academic Editor: Baocang Ding

Copyright © 2012 Yafeng Guo and Tianhong Pan. 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 problem of robust stability of uncertain linear discrete-time system over network with bounded packet loss. A new Lyapunov functional is constructed. It can more fully utilize the characteristics of the packet loss; hence the established stability criterion is more effective to deal with the effect of packet loss on the stability. Numerical examples are given to illustrate the effectiveness and advantage of the proposed methods.