Global synchronization of delay-coupled genetic oscillators

被引：16
作者：
Qiu, Jianlong [1 ,2 ,3 ]
Cao, Jinde [1 ,2 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
[2] Southeast Univ, Sch Automat, Nanjing 210096, Peoples R China
[3] Linyi Normal Univ, Dept Math, Linyi 276005, Peoples R China
来源：
NEUROCOMPUTING | 2009年 / 72卷 / 16-18期
基金：
中国国家自然科学基金;
关键词：
Exponential synchronization; Linear matrix inequality; Lyapunov functional; Delay coupling; REGULATORY NETWORKS; ROBUST STABILITY; MODEL;
D O I：
10.1016/j.neucom.2009.05.007
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper investigates the global exponential synchronization of delay-coupled identical genetic oscillator. By constructing appropriate Lyapunov functional and using the linear matrix inequality (LMI) approach, a series of sufficient criteria, which are very easy to verify, are obtained. It is shown that these criteria improve and extend the earlier works. Finally, a population of genetic oscillators based on the Goodwin model is adopted as a numerical example to demonstrate the effectiveness of our theoretical results. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.
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页码：3845 / 3850
页数：6
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