Finite-time synchronization for memristor-based neural networks with time-varying delays

被引:166
作者
Abdurahman, Abdujelil [1 ]
Jiang, Haijun [1 ]
Teng, Zhidong [1 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
关键词
Memristor; Finite-time synchronization; Neural network; Time-varying delay; EXPONENTIAL SYNCHRONIZATION; NONLINEAR-SYSTEMS; STABILIZATION;
D O I
10.1016/j.neunet.2015.04.015
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
Memristive network exhibits state-dependent switching behaviors due to the physical properties of memristor, which is an ideal tool to mimic the functionalities of the human brain. In this paper, finite-time synchronization is considered for a class of memristor-based neural networks with time-varying delays. Based on the theory of differential equations with discontinuous right-hand side, several new sufficient conditions ensuring the finite-time synchronization of memristor-based chaotic neural networks are obtained by using analysis technique, finite time stability theorem and adding a suitable feedback controller. Besides, the upper bounds of the settling time of synchronization are estimated. Finally, a numerical example is given to show the effectiveness and feasibility of the obtained results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:20 / 28
页数:9
相关论文
共 28 条
[1]  
[Anonymous], 1988, Mathematics and its Applications (Soviet Series), DOI DOI 10.1007/978-94-015-7793-9
[2]   Synchronization of memristor-based recurrent neural networks with two delay components based on second-order reciprocally convex approach [J].
Chandrasekar, A. ;
Rakkiyappan, R. ;
Cao, Jinde ;
Lakshmanan, S. .
NEURAL NETWORKS, 2014, 57 :79-93
[3]   Global exponential almost periodicity of a delayed memristor-based neural networks [J].
Chen, Jiejie ;
Zeng, Zhigang ;
Jiang, Ping .
NEURAL NETWORKS, 2014, 60 :33-43
[4]   On the periodic dynamics of memristor-based neural networks with time-varying delays [J].
Chen, Jiejie ;
Zeng, Zhigang ;
Jiang, Ping .
INFORMATION SCIENCES, 2014, 279 :358-373
[5]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[6]  
Clarke F., 1998, Graduate Texts in Mathematics
[7]  
Clarke F. H., 1983, OPTIMIZATION NONSMOO
[8]   Nonlinear Dynamics of Memristor Oscillators [J].
Corinto, Fernando ;
Ascoli, Alon ;
Gilli, Marco .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (06) :1323-1336
[9]   Self-Controlled Writing and Erasing in a Memristor Crossbar Memory [J].
Ebong, Idongesit E. ;
Mazumder, Pinaki .
IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2011, 10 (06) :1454-1463
[10]   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