Finite/Fixed-Time Pinning Synchronization of Complex Networks With Stochastic Disturbances

被引：261

作者：

Liu, Xiaoyang ^{[1
,2
]}

Ho, Daniel W. C. ^{[3
]}

Song, Qiang ^{[4
,5
]}

Xu, Wenying ^{[6
]}

机构：

[1] Jiangsu Normal Univ, Sch Comp Sci & Technol, Xuzhou 221116, Jiangsu, Peoples R China

[2] Jiangsu Normal Univ, Res Ctr Complex Networks & Swarm Intelligence, Xuzhou 221116, Jiangsu, Peoples R China

[3] City Univ Hong Kong, Dept Math, Hong Kong, Peoples R China

[4] Henan Univ Technol, Coll Elect Engn, Zhengzhou 450001, Henan, Peoples R China

[5] Henan Univ Technol, Minist Educ, Key Lab Grain Informat Proc & Control, Zhengzhou 450001, Henan, Peoples R China

[6] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2019年 / 49卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Complex networks; finite-time synchronization; fixed-time synchronization; pinning controllers; NEURAL-NETWORKS; MULTIAGENT SYSTEMS; CONSENSUS; STABILIZATION; STABILITY; OBSERVERS; DESIGN;

D O I：

10.1109/TCYB.2018.2821119

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 brief proposes a unified theoretical framework to investigate the finite/fixed-time synchronization of complex networks with stochastic disturbances. By designing a common pinning controller with different ranges of power parameters, both the goals of finite-time and fixed-lime synchronization in probability for the network topology containing spanning trees can be achieved. Moveover, with the help of finite-lime stochastic stability theory. two types of explicit expressions of finite/fixed (dependent/independent on the initial values) settling times are calculated as well. One numerical example is finally presented to demonstrate the effectiveness of the theoretical analysis.

引用

页码：2398 / 2403

页数：6

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