Stability of delayed memristive neural networks with time-varying impulses

被引：47

作者：

Qi, Jiangtao ^{[1
]}

Li, Chuandong ^{[1
]}

Huang, Tingwen ^{[2
]}

机构：

[1] Chongqing Univ, Coll Comp Sci, Chongqing 400044, Peoples R China

[2] Texas A&M Univ Qatar, Dept Math, Doha, Qatar

来源：

COGNITIVE NEURODYNAMICS | 2014年 / 8卷 / 05期

关键词：

Memristive neural networks; Time-varying impulses; Time-varying delays; Exponential stability; EXPONENTIAL STABILITY; SYNCHRONIZATION; SYSTEMS;

D O I：

10.1007/s11571-014-9286-0

中图分类号：

Q189 [神经科学];

学科分类号：

071006 ;

摘要：

This paper addresses the stability problem on the memristive neural networks with time-varying impulses. Based on the memristor theory and neural network theory, the model of the memristor-based neural network is established. Different from the most publications on memristive networks with fixed-time impulse effects, we consider the case of time-varying impulses. Both the destabilizing and stabilizing impulses exist in the model simultaneously. Through controlling the time intervals of the stabilizing and destabilizing impulses, we ensure the effect of the impulses is stabilizing. Several sufficient conditions for the globally exponentially stability of memristive neural networks with time-varying impulses are proposed. The simulation results demonstrate the effectiveness of the theoretical results.

引用

页码：429 / 436

页数：8

共 33 条

[1] Baaeinov D, 1989, SYSTEMS IMPULSE EFFE
[2] Hebbian Learning in Spiking Neural Networks With Nanocrystalline Silicon TFTs and Memristive Synapses
Cantley, Kurtis D.
Subramaniam, Anand
Stiegler, Harvey J.
Chapman, Richard A.
Vogel, Eric M.
[J]. IEEE TRANSACTIONS ON NANOTECHNOLOGY, 2011, 10 (05) : 1066 - 1073
[3] Global Exponential Stability of Impulsive Neural Networks With Variable Delay: An LMI Approach
Chen, Wu-Hua
Zheng, Wei Xing
[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2009, 56 (06) : 1248 - 1259
[4] MEMRISTIVE DEVICES AND SYSTEMS
CHUA, LO
KANG, SM
[J]. PROCEEDINGS OF THE IEEE, 1976, 64 (02) : 209 - 223
[5] MEMRISTOR - MISSING CIRCUIT ELEMENT
CHUA, LO
[J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05): : 507 - +
[6] Filippov A, 1960, MAT SBORNIK, V93, P99
[7] A hybrid impulsive and switching control strategy for synchronization of nonlinear systems and application to Chua's chaotic circuit
Guan, ZH
Hill, DJ
Yao, J
[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (01): : 229 - 238
[8] Global exponential dissipativity and stabilization of memristor-based recurrent neural networks with time-varying delays
Guo, Zhenyuan
Wang, Jun
Yan, Zheng
[J]. NEURAL NETWORKS, 2013, 48 : 158 - 172
[9] Bogdanov-Takens Singularity in Tri-Neuron Network With Time Delay
He, Xing
Li, Chuandong
Huang, Tingwen
Li, Chaojie
[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2013, 24 (06) : 1001 - 1007
[10] Codimension two bifurcation in a simple delayed neuron model
He, Xing
Li, Chuandong
Huang, Tingwen
Peng, Mei
[J]. NEURAL COMPUTING & APPLICATIONS, 2013, 23 (7-8) : 2295 - 2300

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