Stabilization of Second-Order Memristive Neural Networks With Mixed Time Delays via Nonreduced Order

被引:78
作者
Zhang, Guodong [1 ]
Zeng, Zhigang [2 ]
机构
[1] South Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Sch Automat, 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;
关键词
Delays; Artificial neural networks; Delay effects; Stability criteria; Asymptotic stability; Synchronization; Adaptive control; memristive neural networks (MNNs); mixed time delays; stabilization; VARYING DELAYS; EXPONENTIAL STABILIZATION; SYNCHRONIZATION ANALYSIS; STABILITY; DYNAMICS;
D O I
10.1109/TNNLS.2019.2910125
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 brief, we investigate a class of second-order memristive neural networks (SMNNs) with mixed time-varying delays. Based on nonsmooth analysis, the Lyapunov stability theory, and adaptive control theory, several new results ensuring global stabilization of the SMNNs are obtained. In addition, compared with the reduced-order method used in the existing research studies, we consider the global stabilization directly from the SMNNs themselves without the reduced-order method. Finally, we give some numerical simulations to show the effectiveness of the results.
引用
收藏
页码:700 / 706
页数:7
相关论文
共 41 条
[1]  
[Anonymous], 1988, Differential Equations With Discontinuous Right-Hand Side
[3]   Finite time boundedness of neutral high-order Hopfield neural networks with time delay in the leakage term and mixed time delays [J].
Aouiti, Chaouki ;
Coirault, Patrick ;
Miaadi, Foued ;
Moulay, Emmanuel .
NEUROCOMPUTING, 2017, 260 :378-392
[4]   Pseudo Almost Automorphic Solutions of Recurrent Neural Networks with Time-Varying Coefficients and Mixed Delays [J].
Aouiti, Chaouki ;
M'hamdi, Mohammed Salah ;
Touati, Abderrahmane .
NEURAL PROCESSING LETTERS, 2017, 45 (01) :121-140
[6]   Dynamics of BAM neural networks with mixed delays and leakage time-varying delays in the weighted pseudo-almost periodic on time-space scales [J].
Arbi, Adnene .
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (03) :1230-1255
[7]   Improved synchronization analysis of competitive neural networks with time-varying delays [J].
Arbi, Adnene ;
Cao, Jinde ;
Alsaedi, Ahmed .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (01) :82-102
[8]   Pseudo-Almost Periodic Solution on Time-Space Scales for a Novel Class of Competitive Neutral-Type Neural Networks with Mixed Time-Varying Delays and Leakage Delays [J].
Arbi, Adnene ;
Cao, Jinde .
NEURAL PROCESSING LETTERS, 2017, 46 (02) :719-745
[9]   Stability analysis for delayed high-order type of Hopfield neural networks with impulses [J].
Arbi, Adnene ;
Aouiti, Chaouki ;
Cherif, Farouk ;
Touati, Abderrahmen ;
Alimi, Adel M. .
NEUROCOMPUTING, 2015, 165 :312-329
[10]   DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS [J].
BABCOCK, KL ;
WESTERVELT, RM .
PHYSICA D, 1987, 28 (03) :305-316