Finite-Time and Fixed-Time Synchronization of Coupled Memristive Neural Networks With Time Delay

被引：92
作者：
Gong, Shuqing [1 ,2 ]
Guo, Zhenyuan [1 ]
Wen, Shiping [3 ]
Huang, Tingwen [4 ]
机构：
[1] Hunan Univ, Sch Math, Changsha 410082, Peoples R China
[2] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
[3] Univ Technol Sydney, Ctr Artificial Intelligence, Sydney, NSW 2007, Australia
[4] Texas A&M Univ Qatar, Sci Program, Doha, Qatar
来源：
IEEE TRANSACTIONS ON CYBERNETICS | 2021年 / 51卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Synchronization; Biological neural networks; Delay effects; Topology; Manganese; Couplings; Finite-time synchronization; fixed-time synchronization; memristive neural network; time delay; GLOBAL EXPONENTIAL SYNCHRONIZATION; STABILIZATION; OPTIMIZATION; SCHEME;
D O I：
10.1109/TCYB.2019.2953236
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 article is devoted to analyzing the finite-time and fixed-time synchronization of coupled memristive neural networks with time delays. The synchronization is leaderless rather than leader-follower as the tracking targets are uncertain. By designing a proper controller and using the Lyapunov method, several sufficient conditions are obtained to achieve the finite-time and fixed-time synchronization of coupled memristive neural networks by introducing a class of special auxiliary matrices. Moreover, the settling times can be estimated for finite-time synchronization that depends on the initial values as well as fixed-time synchronization that is uniformly bounded for any initial values. Finally, two examples are presented to substantiate the effectiveness of the theoretical results.
引用
收藏
页码：2944 / 2955
页数：12
相关论文
共 46 条
[1]  
Aggarwal A., 2012, 2012 11th Symposium on Neural Network Applications in Electrical Engineering (NEUREL 2012). Proceedings, P101, DOI 10.1109/NEUREL.2012.6419974
[2]   Global synchronization in an array of delayed neural networks with hybrid coupling [J].
Cao, Jinde ;
Chen, Guanrong ;
Li, Ping .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (02) :488-498
[3]   Fixed-time synchronization of delayed memristor-based recurrent neural networks [J].
Cao, Jinde ;
Li, Ruoxia .
SCIENCE CHINA-INFORMATION SCIENCES, 2017, 60 (03)
[4]   Synchronization of memristive neural networks with leakage delay and parameters mismatch via event-triggered control [J].
Cao, Yuting ;
Wang, Shengbo ;
Guo, Zhenyuan ;
Huang, Tingwen ;
Wen, Shiping .
NEURAL NETWORKS, 2019, 119 :178-189
[5]   Distributed Generator Coordination for Initialization and Anytime Optimization in Economic Dispatch [J].
Cherukuri, Ashish ;
Cortes, Jorge .
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2015, 2 (03) :226-237
[6]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[7]   An adaptive chaos synchronization scheme applied to secure communication [J].
Feki, M .
CHAOS SOLITONS & FRACTALS, 2003, 18 (01) :141-148
[8]   Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations [J].
Forti, A ;
Grazzini, A ;
Nistri, P ;
Pancioni, L .
PHYSICA D-NONLINEAR PHENOMENA, 2006, 214 (01) :88-99
[9]   Global exponential synchronization of inertial memristive neural networks with time-varying delay via nonlinear controller [J].
Gong, Shuqing ;
Yang, Shaofu ;
Guo, Zhenyuan ;
Huang, Tingwen .
NEURAL NETWORKS, 2018, 102 :138-148
[10]   Global exponential synchronization of multiple coupled inertial memristive neural networks with time-varying delay via nonlinear coupling [J].
Guo, Zhenyuan ;
Gong, Shuqing ;
Yang, Shaofu ;
Huang, Tingwen .
NEURAL NETWORKS, 2018, 108 :260-271
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