Synchronization for memristive chaotic neural networks using Wirtinger-based multiple integral inequality

被引：1

作者：

Zheng, Cheng-De ^{[1
]}

Zhang, Yue ^{[1
]}

Wang, Zhanshan ^{[2
]}

机构：

[1] Dalian Jiaotong Univ, Sch Sci, Dalian, Peoples R China

[2] Northeastern Univ, Sch Informat Sci & Engn, Shenyang 110004, Liaoning, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2018年 / 9卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Memristive neural networks; Synchronization; Wirtinger-based integral inequality; Reciprocally convex combination; Free-matrix-based inequality; TIME-VARYING DELAYS; TO-STATE STABILITY; EXPONENTIAL SYNCHRONIZATION; PROJECTIVE SYNCHRONIZATION; IMPULSIVE CONTROL; MIXED DELAYS; SYSTEMS; CRITERIA;

D O I：

10.1007/s13042-016-0626-8

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper investigates the synchronization problem for a class of memristive chaotic neural networks with time-varying delays. Based on te Wirtinger-based double integral inequality, two novel inequalities are proposed, which are multiple integral forms of the Wirtinger-based integral inequality. Next, by applying the reciprocally convex combination approach for high order case and a free-matrix-based inequality, novel delay-dependent conditions are established to achieve the synchronization for the memristive chaotic neural networks. The results are based on dividing the bounding of activation function into two subintervals with equal length. Finally, a numerical example is provided to demonstrate the effectiveness of the theoretical results.

引用

页码：1069 / 1083

页数：15

共 50 条

[21] Observer-based synchronization of memristive neural networks under DoS attacks and actuator saturation and its application to image encryption
Zhou, Chao
Wang, Chunhua
Yao, Wei
Lin, Hairong
APPLIED MATHEMATICS AND COMPUTATION, 2022, 425
[22] Event-triggered hybrid impulsive control for synchronization of memristive neural networks
Zhang, Yijun
Bao, Yuangui
SCIENCE CHINA-INFORMATION SCIENCES, 2020, 63 (05)
[23] Direct quaternion method-based stability criteria for quaternion-valued Takagi-Sugeno fuzzy BAM delayed neural networks using quaternion-valued Wirtinger-based integral inequality
Sriraman, R.
Vignesh, P.
Amritha, V. C.
Rachakit, G.
Balaji, Prasanalakshmi
AIMS MATHEMATICS, 2023, 8 (05): : 10486 - 10512
[24] Stability and synchronization of fractional-order memristive neural networks with multiple delays
Chen, Liping
Cao, Jinde
Wu, Ranchao
Tenreiro Machado, J. A.
Lopes, Antonio M.
Yang, Hejun
NEURAL NETWORKS, 2017, 94 : 76 - 85
[25] Synchronization for delayed memristive BAM neural networks using impulsive control with random nonlinearities
Mathiyalagan, K.
Park, Ju H.
Sakthivel, R.
APPLIED MATHEMATICS AND COMPUTATION, 2015, 259 : 967 - 979
[26] Exponential Synchronization of Memristive Chaotic Recurrent Neural Networks Via Alternate Output Feedback Control
Li, Xiaofan
Fang, Jian-an
Li, Huiyuan
ASIAN JOURNAL OF CONTROL, 2018, 20 (01) : 469 - 482
[27] Robust exponential passive filtering for uncertain neutral-type neural networks with time-varying mixed delays via Wirtinger-based integral inequality
Xian Zhang
XiaoFei Fan
Yu Xue
YanTao Wang
Wei Cai
International Journal of Control, Automation and Systems, 2017, 15 : 585 - 594
[28] Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control
Zhang, Xiaoyu
Lv, Xiaoxiao
Li, Xiaodi
NONLINEAR DYNAMICS, 2017, 90 (03) : 2199 - 2207
[29] O(t-α)-synchronization and Mittag-Leffler synchronization for the fractional-order memristive neural networks with delays and discontinuous neuron activations
Chen, Jiejie
Chen, Boshan
Zeng, Zhigang
NEURAL NETWORKS, 2018, 100 : 10 - 24
[30] New results on exponential synchronization of memristor-based chaotic neural networks
Jiang, Minghui
Mei, Jun
Hu, Junhao
NEUROCOMPUTING, 2015, 156 : 60 - 67

← 1 2 3 4 5 →