Finite/fixed-time synchronization of delayed memristive reaction-diffusion neural networks

被引:32
作者
Wang, Shiqin [1 ]
Guo, Zhenyuan [1 ]
Wen, Shiping [2 ]
Huang, Tingwen [3 ]
Gong, Shuqing [1 ,4 ]
机构
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Comp Sci & Engn, Chengdu 611731, Sichuan, Peoples R China
[3] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar
[4] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
Finite/fixed-time synchronization; Reaction-diffusion; Memristive neural network; State feedback controller; ROBUST SYNCHRONIZATION; STABILITY; STABILIZATION; SYSTEMS;
D O I
10.1016/j.neucom.2019.06.092
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 is concerned with the finite/fixed-time synchronization (FFTS) problems of two delayed memristive reaction-diffusion neural networks (MRDNNs). By designing appropriate state feedback controllers, utilizing the Lyapunov function method and inequality techniques, several sufficient criteria are derived to guarantee the FFTS of the drive-response MRDNNs. Taking into account both the influences of time and space, the model, described as a state-dependent switching system here, is more complex and closer to practical applications than those in the existing results. Finally, an example is presented to substantiate the effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:1 / 8
页数:8
相关论文
共 50 条
[31]   Delay-Dependent Stability Criteria for Reaction-Diffusion Neural Networks With Time-Varying Delays [J].
Ma, Qian ;
Feng, Gang ;
Xu, Shengyuan .
IEEE TRANSACTIONS ON CYBERNETICS, 2013, 43 (06) :1913-1920
[32]   ELECTRIC-LOAD FORECASTING USING AN ARTIFICIAL NEURAL NETWORK [J].
PARK, DC ;
ELSHARKAWI, MA ;
MARKS, RJ ;
ATLAS, LE ;
DAMBORG, MJ .
IEEE TRANSACTIONS ON POWER SYSTEMS, 1991, 6 (02) :442-449
[33]   Nonlinear Feedback Design for Fixed-Time Stabilization of Linear Control Systems [J].
Polyakov, Andrey .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2012, 57 (08) :2106-U1
[34]   Asymptotical Synchronization of Lur'e Systems Using Network Reliable Control [J].
Rakkiyappan, R. ;
Lakshmanan, S. ;
Lim, C. P. .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2017, 139 (01)
[35]   Semi-global finite-time observers for nonlinear systems [J].
Shen, Yanjun ;
Xia, Xiaohua .
AUTOMATICA, 2008, 44 (12) :3152-3156
[36]   Impulsive synchronization of stochastic reaction-diffusion neural networks with mixed time delays [J].
Sheng, Yin ;
Zeng, Zhigang .
NEURAL NETWORKS, 2018, 103 :83-93
[37]   Synchronization of Reaction-Diffusion Neural Networks With Dirichlet Boundary Conditions and Infinite Delays [J].
Sheng, Yin ;
Zhang, Hao ;
Zeng, Zhigang .
IEEE TRANSACTIONS ON CYBERNETICS, 2017, 47 (10) :3005-3017
[38]   Terminal sliding mode control for rigid robots [J].
Tang, Y .
AUTOMATICA, 1998, 34 (01) :51-56
[39]   Distributed Robust Synchronization of Dynamical Networks With Stochastic Coupling [J].
Tang, Yang ;
Gao, Huijun ;
Kurths, Juergen .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2014, 61 (05) :1508-1519
[40]   Asymptotical Synchronization for Delayed Stochastic Neural Networks with Uncertainty via Adaptive Control [J].
Tong, Dongbing ;
Zhang, Liping ;
Zhou, Wuneng ;
Zhou, Jun ;
Xu, Yuhua .
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2016, 14 (03) :706-712