Synchronization control for memristive high-order competitive neural networks with time-varying delay

被引:9
作者
Gong, Shuqing [1 ,2 ]
Guo, Zhenyuan [1 ]
Wen, Shiping [3 ]
Huang, Tingwen [4 ]
机构
[1] Hunan Univ, Coll Math & Econometra, Changsha 410082, Hunan, Peoples R China
[2] Changsha Univ Sci & Technol, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Math & Stat, Chengdu 611731, Sichuan, Peoples R China
[4] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar
基金
中国国家自然科学基金;
关键词
Global exponential synchronization; Memristor; High-order; Competitive neural network; Time-varying delay; GLOBAL EXPONENTIAL SYNCHRONIZATION; STABILITY; DISSIPATIVITY;
D O I
10.1016/j.neucom.2019.06.049
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 concerns the synchronization problem of memristive high-order competitive neural networks with time-varying delay. First, a novel control scheme with a linear term and a discontinuous term is proposed. Then, based on the Lyapunov stability theory, several criteria with algebraic form or matrix form are derived to ensure global exponential synchronization of the networks by adopting some inequality techniques. Finally, two numerical examples are presented to substantiate the effectiveness of the results. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:295 / 305
页数:11
相关论文
共 42 条
[21]   Global Exponential Synchronization of Multiple Memristive Neural Networks With Time Delay via Nonlinear Coupling [J].
Guo, Zhenyuan ;
Yang, Shaofu ;
Wang, Jun .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (06) :1300-1311
[22]   Global Exponential Synchronization of Two Memristor-Based Recurrent Neural Networks with Time Delays via Static or Dynamic Coupling [J].
Guo, Zhenyuan ;
Wang, Jun ;
Yan, Zheng .
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2015, 45 (02) :235-249
[23]   Attractivity Analysis of Memristor-Based Cellular Neural Networks With Time-Varying Delays [J].
Guo, Zhenyuan ;
Wang, Jun ;
Yan, Zheng .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2014, 25 (04) :704-717
[24]   Global exponential dissipativity and stabilization of memristor-based recurrent neural networks with time-varying delays [J].
Guo, Zhenyuan ;
Wang, Jun ;
Yan, Zheng .
NEURAL NETWORKS, 2013, 48 :158-172
[25]   An observer-based approach for chaotic synchronization with applications to secure communications [J].
Liao, TL ;
Huang, NS .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 1999, 46 (09) :1144-1150
[26]   Singular perturbation analysis of competitive neural networks with different time scales [J].
MeyerBase, A ;
Ohl, F ;
Scheich, H .
NEURAL COMPUTATION, 1996, 8 (08) :1731-1742
[27]   Multistability and multiperiodicity of high-order competitive neural networks with a general class of activation functions [J].
Nie, Xiaobing ;
Huang, Zhenkun .
NEUROCOMPUTING, 2012, 82 :1-13
[28]   Multistability of Second-Order Competitive Neural Networks With Nondecreasing Saturated Activation Functions [J].
Nie, Xiaobing ;
Cao, Jinde .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (11) :1694-1708
[29]   Synchronization of memristive competitive neural networks with different time scales [J].
Shi, Yanchao ;
Zhu, Peiyong .
NEURAL COMPUTING & APPLICATIONS, 2014, 25 (05) :1163-1168
[30]   The missing memristor found [J].
Strukov, Dmitri B. ;
Snider, Gregory S. ;
Stewart, Duncan R. ;
Williams, R. Stanley .
NATURE, 2008, 453 (7191) :80-83