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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 587019, 7 pages
http://dx.doi.org/10.1155/2014/587019
Research Article

Quasisynchronization in Quorum Sensing Systems with Parameter Mismatches

1School of Science, Hangzhou Dianzi University, Hangzhou 310018, China
2School of Informatics, Linyi University, Linyi 276005, China
3School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China
4Guangxi Key Laboratory of Trusted Software, Guilin University of Electronic Technology, Guilin 541004, China

Received 2 April 2014; Revised 1 July 2014; Accepted 1 July 2014; Published 16 July 2014

Academic Editor: Chuangxia Huang

Copyright © 2014 Jianbao Zhang et al. 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 investigates quasisynchronization in a communication system, which consists of cells communicating through quorum sensing. With the help of Lyapunov function method and Lur’e system approach, some sufficient conditions for quasisynchronization are presented, and a bound on the synchronization errors is derived. The obtained theoretical results show that the synchronization quality is influenced by two parameters detrimentally: the error bound depends almost linearly on the mismatches between cells and depends sensitively on the diffusion rates of the signals inward the cell membrane. Numerical experiments are carried out to verify the theoretical results.