Exponential synchronization of inertial neural networks with mixed time-varying delays via periodically intermittent control

被引:43
作者
Tang, Qian [1 ]
Jian, Jigui [1 ,2 ]
机构
[1] China Three Gorges Univ, Coll Sci, Yichang 443002, Hubei, Peoples R China
[2] China Three Gorges Univ, Three Gorges Math Res Ctr, Yichang 443002, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
Inertial neural network; Exponential synchronization; Mixed time-varying delay; Periodically intermittent control; Inequality technique; STABILITY ANALYSIS; HOPF-BIFURCATION; STABILIZATION; CHAOS; DISSIPATIVITY; MODEL;
D O I
10.1016/j.neucom.2019.01.096
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 is concerned with the problem on the exponential synchronization of inertial neural networks with discrete and finite distributed time-varying delays using intermittent control. Two kinds of time varying delays are considered: one is whose derivatives are strictly smaller than one and the other is without any restriction on the delay derivatives. Based on Lyapunov-Krasovskii functional method and applying inequality techniques, some new delay-dependent criteria are obtained to ensure the global exponential synchronization for the discussed networks, which are very simple to implement in practice and reduce the computational burden. Moreover, the exponential synchronization convergence rates depend on the norm, the transformation parameters, the control parameters and the width index of the control. Finally, some numerical examples are presented to demonstrate the validity of our results. (c) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:181 / 190
页数:10
相关论文
共 40 条
[1]   STABILITY AND DYNAMICS OF SIMPLE ELECTRONIC NEURAL NETWORKS WITH ADDED INERTIA [J].
BABCOCK, KL ;
WESTERVELT, RM .
PHYSICA D, 1986, 23 (1-3) :464-469
[2]   Adaptive synchronization of multiple uncertain coupled chaotic systems via sliding mode control [J].
Chen, Xiangyong ;
Park, Ju H. ;
Cao, Jinde ;
Qiu, Jianlong .
NEUROCOMPUTING, 2018, 273 :9-21
[3]  
Cui N., 2017, J. Assoc. Arab. Univ. Basic Aied Sci, V24, P300, DOI DOI 10.1016/J.JAUBAS.2017.03.006
[4]   Pinning sampled-data synchronization of coupled inertial neural networks with reaction-diffusion terms and time-varying delays [J].
Dharani, S. ;
Rakkiyappan, R. ;
Park, Ju H. .
NEUROCOMPUTING, 2017, 227 :101-107
[5]   Hopf bifurcation and chaos in an inertial neuron system with coupled delay [J].
Ge JuHong ;
Xu Jian .
SCIENCE CHINA-TECHNOLOGICAL SCIENCES, 2013, 56 (09) :2299-2309
[6]   Finite-time synchronization of inertial memristive neural networks with time delay via delay-dependent control [J].
Guo, Zhenyuan ;
Gong, Shuqing ;
Huang, Tingwen .
NEUROCOMPUTING, 2018, 293 :100-107
[7]   Pinning-controlled synchronization of delayed neural networks with distributed-delay coupling via impulsive control [J].
He, Wangli ;
Qian, Feng ;
Cao, Jinde .
NEURAL NETWORKS, 2017, 85 :1-9
[8]   Exponential stabilization and synchronization of neural networks with time-varying delays via periodically intermittent control [J].
Hu, Cheng ;
Yu, Juan ;
Jiang, Haijun ;
Teng, Zhidong .
NONLINEARITY, 2010, 23 (10) :2369-2391
[9]   Exponential lag synchronization for neural networks with mixed delays via periodically intermittent control [J].
Hu, Cheng ;
Yu, Juan ;
Jiang, Haijun ;
Teng, Zhidong .
CHAOS, 2010, 20 (02)
[10]   New robust stability condition for discrete-time recurrent neural networks with time-varying delays and nonlinear perturbations [J].
Hua, Changchun ;
Wu, Shuangshuang ;
Guan, Xinping .
NEUROCOMPUTING, 2017, 219 :203-209