Global Uniform Asymptotic Stability of Memristor-based Recurrent Neural Networks with Time Delays

被引：0

作者：

Hu, Jin ^{[1
]}

Wang, Jun ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Dept Mech & Automat Engn, Shatin, Hong Kong, Peoples R China

来源：

2010 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS IJCNN 2010 | 2010年

关键词：

EXPONENTIAL STABILITY; VARYING DELAYS; VARIABLE DELAYS; GENERAL-CLASS;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Memristor is a newly prototyped nonlinear circuit device. Its value is not unique and changes according to the value of the magnitude and polarity of the voltage applied to it. In this paper, a simplified mathematical model is proposed to characterize the pinched hysteretic feature of the memristor, a memristor-based recurrent neural network model is given, and its global stability is studied. Using differential inclusion, two sufficient conditions for the global uniform asymptotic stability of memristor-based recurrent neural networks are obtained.

引用

页数：8

共 23 条

[1] [Anonymous], 1979, NONNEGATIVE MATRICES
[2] [Anonymous], 2005, Liapunov functions and stability in control theory
[3] [Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
[4] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
Cao, J
Wang, J
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) : 34 - 44
[5] Global asymptotic and robust stability of recurrent neural networks with time delays
Cao, JD
Wang, J
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2005, 52 (02) : 417 - 426
[6] Global asymptotical stability of recurrent neural networks with multiple discrete delays and distributed delays
Cao, Jinde
Yuan, Kun
Li, Han-Xiong
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS, 2006, 17 (06): : 1646 - 1651
[7] CHEN W, 2006, IEEE T CIRCUITS-I, V53, P244
[8] On Global Asymptotic Stability of Cohen-Grossberg Neural Networks With Variable Delays
Chen, Wu-Hua
Zheng, Wei Xing
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (10) : 3145 - 3159
[9] MEMRISTOR - MISSING CIRCUIT ELEMENT
CHUA, LO
[J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05): : 507 - +
[10] Global asymptotic stability and global exponential stability of continuous-time recurrent neural networks
Hu, SQ
Wang, J
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (05) : 802 - 807

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