Power-rate synchronization of coupled genetic oscillators with unbounded time-varying delay

被引：8
|
作者：
Alofi, Abdulaziz [1 ]
Ren, Fengli [2 ]
Al-Mazrooei, Abdullah [1 ,4 ]
Elaiw, Ahmed [1 ]
Cao, Jinde [1 ,3 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China
[3] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[4] Univ Jeddah, Dept Math, Jeddah 21589, Saudi Arabia
来源：
COGNITIVE NEURODYNAMICS | 2015年 / 9卷 / 05期
关键词：
Power-rate synchronization; Genetic oscillators; Unbounded time-varying delay; Matrix inequality; REGULATORY NETWORKS; ROBUST STABILITY; NEURAL-NETWORKS; DYNAMICAL-SYSTEMS; EXPRESSION; ARRAY;
D O I：
10.1007/s11571-015-9344-2
中图分类号：
Q189 [神经科学];
学科分类号：
071006 ;
摘要：
In this paper, a new synchronization problem for the collective dynamics among genetic oscillators with unbounded time-varying delay is investigated. The dynamical system under consideration consists of an array of linearly coupled identical genetic oscillators with each oscillators having unbounded time-delays. A new concept called power-rate synchronization, which is different from both the asymptotical synchronization and the exponential synchronization, is put forward to facilitate handling the unbounded time-varying delays. By using a combination of the Lyapunov functional method, matrix inequality techniques and properties of Kronecker product, we derive several sufficient conditions that ensure the coupled genetic oscillators to be power-rate synchronized. The criteria obtained in this paper are in the form of matrix inequalities. Illustrative example is presented to show the effectiveness of the obtained results.
引用
收藏
页码：549 / 559
页数：11
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