New results on passivity analysis of memristor-based neural networks with time-varying delays

被引:27
作者
Wang, Leimin [1 ,2 ]
Shen, Yi [1 ,2 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
[2] Educ Minist China, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
基金
美国国家科学基金会; 中国国家自然科学基金;
关键词
Passivity; Memristor-based neural networks; Filippov solution; Time-varying delays; INFINITY STATE ESTIMATION; EXPONENTIAL PASSIVITY; STABILITY ANALYSIS; COMPLEX NETWORKS; DISCRETE; SYNCHRONIZATION; SYSTEMS;
D O I
10.1016/j.neucom.2014.05.032
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, the passivity problem of memristor-based neural networks (MNNs) with time-varying delays is investigated. New delay-dependent criteria are established for the passivity of MNNs. The time-varying delays of our paper are not necessary to be differentiable, so our results are less conservative, which enrich and improve the earlier publications. An example is given to demonstrate the effectiveness of the obtained results. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:208 / 214
页数:7
相关论文
共 41 条
[1]  
[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[2]  
Aubin J.P., 1984, DIFFERENTIAL INCLUSI
[3]   MEMRISTOR - MISSING CIRCUIT ELEMENT [J].
CHUA, LO .
IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+
[4]   Passivity and complexity [J].
Chua, LO .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (01) :71-82
[5]  
Clarke F. H., 1998, NONSMOOTH ANAL CONTR, V178, DOI 10.1007/b97650
[6]   H∞ State Estimation for Discrete-Time Complex Networks With Randomly Occurring Sensor Saturations and Randomly Varying Sensor Delays [J].
Ding, Derui ;
Wang, Zidong ;
Shen, Bo ;
Shu, Huisheng .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (05) :725-736
[7]   New delay-dependent stability conditions for linear systems with delay [J].
Elmadssia, S. ;
Saadaoui, K. ;
Benrejeb, M. .
SYSTEMS SCIENCE & CONTROL ENGINEERING, 2013, 1 (01) :2-11
[8]  
Hu J., 2010, 2010 INT JOINT C NEU, P1, DOI DOI 10.1109/IJCNN.2010.5596359
[9]   MEMRISTOR OSCILLATORS [J].
Itoh, Makoto ;
Chua, Leon O. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (11) :3183-3206
[10]   Nanoscale Memristor Device as Synapse in Neuromorphic Systems [J].
Jo, Sung Hyun ;
Chang, Ting ;
Ebong, Idongesit ;
Bhadviya, Bhavitavya B. ;
Mazumder, Pinaki ;
Lu, Wei .
NANO LETTERS, 2010, 10 (04) :1297-1301