Passivity and passification of memristor-based complex-valued recurrent neural networks with interval time-varying delays

被引：47

作者：

Rakkiyappan, R. ^{[1
]}

Sivaranjani, K. ^{[1
]}

Velmurugan, G. ^{[1
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

NEUROCOMPUTING | 2014年 / 144卷

关键词：

Passivity; Passification; Complex-valued neural networks; Memristor; Linear matrix inequality (LMI); EXPONENTIAL PASSIVITY; SYNCHRONIZATION; STABILITY; ELEMENT;

D O I：

10.1016/j.neucom.2014.04.034

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, we made an effort to investigate the passivity and passification of memristor-based complex-valued recurrent neural networks (MCVNNs) with interval time-varying delays. By constructing proper Lyapunov-Krasovskii functional and using the characteristic function method, passivity conditions are derived in terms of linear matrix inequalities (LMIs). Then, based on the derived passivity condition, the desired feedback controller is designed, which ensures the MCVNNs with interval time-varying delays to be passive. Finally, numerical examples are given to illustrate the effectiveness of the proposed theoretical results. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：391 / 407

页数：17

共 32 条

[1] Passivity analysis of neural networks with Markovian jumping parameters and interval time-varying delays [J].

Balasubramaniam, P. ;

Nagamani, G. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (04) :853-864

[2] Multistability of periodic delayed recurrent neural network with memristors [J].

Bao, Gang ;

Zeng, Zhigang .

NEURAL COMPUTING & APPLICATIONS, 2013, 23 (7-8) :1963-1967

[3] Global Stability of Complex-Valued Neural Networks on Time Scales [J].

Bohner, Martin ;

Rao, V. Sree Hari ;

Sanyal, Suman .

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2011, 19 (1-2) :3-11

[4] Passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].

Chen, Bing ;

Li, Hongyi ;

Lin, Chong ;

Zhou, Qi .

PHYSICS LETTERS A, 2009, 373 (14) :1242-1248

[5] Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales [J].

Chen, Xiaofeng ;

Song, Qiankun .

NEUROCOMPUTING, 2013, 121 :254-264

[6] Passivity analysis of stochastic time-delay neural networks [J].

Chen, Yun ;

Wang, Huijiao ;

Xue, Anke ;

Lu, Renquan .

NONLINEAR DYNAMICS, 2010, 61 (1-2) :71-82

[7] MEMRISTOR - MISSING CIRCUIT ELEMENT [J].

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+

[8] On passivity analysis for stochastic neural networks with interval time-varying delay [J].

Fu, Jie ;

Zhang, Huaguang ;

Ma, Tiedong ;

Zhang, Qingling .

NEUROCOMPUTING, 2010, 73 (4-6) :795-801

[9]

Hirose A, 2012, STUD COMPUT INTELL, V400, P1, DOI 10.1007/978-3-64227632-3

[10] Global Stability of Complex-Valued Recurrent Neural Networks With Time-Delays [J].

Hu, Jin ;

Wang, Jun .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2012, 23 (06) :853-865

← 1 2 3 4 →