Synchronization for Nonlinear Complex Spatio-Temporal Networks with Multiple Time-Invariant Delays and Multiple Time-Varying Delays

被引：13

作者：

Yang, Chengdong ^{[1
,2
]}

Huang, Tingwen ^{[3
]}

Yi, Kejia ^{[4
]}

Zhang, Ancai ^{[2
,5
]}

Chen, Xiangyong ^{[2
,5
]}

Li, Zhenxing ^{[2
,5
]}

Qiu, Jianlong ^{[2
,5
,6
]}

Alsaadi, Fuad E. ^{[6
]}

机构：

[1] Linyi Univ, Sch Informat Sci & Technol, Linyi 276005, Shandong, Peoples R China

[2] Linyi Univ, Key Lab Complex Syst & Intelligent Comp Univ Shan, Linyi 276005, Shandong, Peoples R China

[3] Texas A&M Univ Qatar, Doha 5825, Qatar

[4] Syst Engn Res Inst CSSC, Technol Dev Dept, Beijing 100039, Peoples R China

[5] Linyi Univ, Sch Automat & Elect Engn, Linyi 276005, Shandong, Peoples R China

[6] King Abdulaziz Univ, Fac Engn, Dept Elect & Comp Engn, Jeddah 21589, Saudi Arabia

来源：

NEURAL PROCESSING LETTERS | 2019年 / 50卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Complex networks; Synchronization; Boundary control; Linear matrix inequalities; DIFFUSION NEURAL-NETWORKS; PARTIAL-DIFFERENTIAL SYSTEMS; EXPONENTIAL STABILIZATION; DYNAMICAL NETWORKS;

D O I：

10.1007/s11063-018-9900-y

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 deals with the problem for synchronization of a nonlinear time delayed complex spatio-temporal network (CSN), modelled by semi-linear parabolic partial differential-difference equations. A boundary controller relying to distributed measurement is designed. Multiple time-invariant delays are firstly considered. By employing Lyapunov's direct method and Wirtingers inequality, synchronization criteria of the CSN are presented in terms of LMIs. And then, multiple time-varying delays are respectively considered using the boundary controller and synchronization criteria are obtained. Finally, an example illustrates the effectiveness of the proposed method.

引用

页码：1051 / 1064

页数：14

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