Stochastic mean square exponential synchronisation of time-varying complex dynamical networks via pinning control

被引：7

作者：

Wang, Xin ^{[1
,2
]}

Liu, Xinzhi ^{[2
]}

She, Kun ^{[1
]}

Zhong, Shouming ^{[3
]}

Shi, Kaibo ^{[4
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada

[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Peoples R China

[4] Chengdu Univ, Sch Informat Sci & Engn, Chengdu, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2017年 / 48卷 / 11期

基金：

中国国家自然科学基金; 加拿大自然科学与工程研究理事会;

关键词：

Exponential synchronisation; stochastic dynamical networks; pinning control; time-varying delay; SAMPLED-DATA CONTROL; ADAPTIVE SYNCHRONIZATION; CLUSTER SYNCHRONIZATION; ROBUST SYNCHRONIZATION; NEURAL-NETWORKS; DELAYS; SYSTEMS; CRITERIA;

D O I：

10.1080/00207721.2017.1316429

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the problem of stochastic mean square exponential synchronisation of complex dynamical networks with time-varying delay via pinning control. By applying the Lyapunov method and stochastic analysis, criteria on mean square exponential synchronisation are established under linear feedback pinning control and adaptive feedback pinning control, which depend on the time-varying delay and stochastic perturbation. These results complement and improve the previously known results. Two numerical examples are given to illustrate the effectiveness and correctness of the derived theoretical results.

引用

页码：2282 / 2290

页数：9

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