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
收藏
页码：1051 / 1064
页数：14
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