Exponential stability for a class of memristive neural networks with mixed time-varying delays

被引：68

作者：

Zhang, Guodong ^{[1
]}

Zeng, Zhigang ^{[2
]}

机构：

[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Hubei, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 321卷

基金：

美国国家科学基金会;

关键词：

Exponential stability; Neural networks; Memristive; Mixed time-varying delays; DISCRETE; SYNCHRONIZATION;

D O I：

10.1016/j.amc.2017.11.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new general hybrid neural networks with inertial term and mixed time-varying delays are proposed here by using the memristors connections. Then by building appropriate Lyapunov functionals and inequality technique, some new conditions assuring the global exponential stability of the hybrid neural networks are derived. The circuit implementation of the proposed hybrid neural networks are also presented here. In addition, the new proposed results here enrich and extend the earlier publications on neural networks. Lastly, numerical simulations show the effectiveness of our results. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：544 / 554

页数：11

共 35 条

[1] MODELS OF MEMBRANE RESONANCE IN PIGEON SEMICIRCULAR CANAL TYPE-II HAIR-CELLS [J].

ANGELAKI, DE ;

CORREIA, MJ .

BIOLOGICAL CYBERNETICS, 1991, 65 (01) :1-10

[2]

[Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides

[3]

Aubin JP., 1984, Differential Inclusions: Set Valued Maps and Viability Theory

[4] STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].

BABCOCK, KL ;

WESTERVELT, RM .

PHYSICA D, 1986, 23 (1-3) :464-469

[5] Adaptive synchronization of fractional-order memristor-based neural networks with time delay [J].

Bao, Haibo ;

Park, Ju H. ;

Cao, Jinde .

NONLINEAR DYNAMICS, 2015, 82 (03) :1343-1354

[6] Exponential Synchronization of Coupled Stochastic Memristor-Based Neural Networks With Time-Varying Probabilistic Delay Coupling and Impulsive Delay [J].

Bao, Haibo ;

Park, Ju H. ;

Cao, Jinde .

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2016, 27 (01) :190-201

[7] Fixed-time synchronization of delayed memristor-based recurrent neural networks [J].

Cao, Jinde ;

Li, Ruoxia .

SCIENCE CHINA-INFORMATION SCIENCES, 2017, 60 (03)

[8] Matrix measure strategies for stability and synchronization of inertial BAM neural network with time delays [J].

Cao, Jinde ;

Wan, Ying .

NEURAL NETWORKS, 2014, 53 :165-172

[9] Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays [J].

Gan, Qintao .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (07) :3040-3049

[10] Global synchronization of memristive neural networks subject to random disturbances via distributed pinning control [J].

Guo, Zhenyuan ;

Yang, Shaofu ;

Wang, Jun .

NEURAL NETWORKS, 2016, 84 :67-79

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