Impulsive synchronization of two coupled delayed reaction-diffusion neural networks using time-varying impulsive gains

被引:8
作者
Chen, Wu-Hua [1 ]
Deng, Xiaoqing [2 ]
Lu, Xiaomei [2 ]
机构
[1] Guangxi Univ, Sch Elect Engn, Nanning 530004, Guangxi, Peoples R China
[2] Guangxi Univ, Coll Math & Informat Sci, Nanning 530004, Guangxi, Peoples R China
基金
中国国家自然科学基金;
关键词
Impulsive synchronization; Reaction-diffusion neural networks; Time-varying impulsive gains; Impulse-time-dependent discretized; Lyapunov functions; H-INFINITY SYNCHRONIZATION; EXPONENTIAL SYNCHRONIZATION; INTERMITTENT SYNCHRONIZATION; ADAPTIVE SYNCHRONIZATION; L-2-GAIN ANALYSIS; MIXED DELAYS; STABILITY; SYSTEMS; TERMS; STABILIZATION;
D O I
10.1016/j.neucom.2019.08.098
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 paper, the problem of impulsive synchronization of two coupled delayed reaction-diffusion neural networks under aperiodic discrete measurements is revisited. Different from the previous static impulsive gain based impulsive synchronization strategy, a novel impulsive synchronization strategy using sampling-interval-dependent impulsive gains is proposed. The time-varying impulsive synchronization gains are able to adapt to the variation of sampling intervals, and thus can improve the synchronization performance. The stability analysis of the resultant synchronization error system is performed by applying an impulse-time-dependent discretized Lyapunov functions based method. Sufficient conditions for the existence of desired impulsive synchronization controllers are derived in terms of a set of linear matrix inequalities (LMIs). These conditions allow to synthesize time-varying impulsive gains. A numerical example is presented to demonstrate the effectiveness of the developed methodology. (c) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:334 / 344
页数:11
相关论文
共 45 条
[1]  
[Anonymous], 2000, Neural networks for modelling and control of dynamic systems-a practitioner's handbook
[2]   Intermittent synchronization in a pair of coupled chaotic pendula [J].
Baker, GL ;
Blackburn, JA ;
Smith, HJT .
PHYSICAL REVIEW LETTERS, 1998, 81 (03) :554-557
[3]   Stability and L2-Gain Analysis for Linear Time-Delay Systems With Delayed Impulses: An Augmentation-Based Switching Impulse Approach [J].
Chen, Wu-Hua ;
Ruan, Zhen ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (10) :4209-4216
[4]   Stability and L2-gain analysis for impulsive delay systems: An impulse-time-dependent discretized Lyapunov functional method [J].
Chen, Wu-Hua ;
Ruan, Zhen ;
Zheng, Wei Xing .
AUTOMATICA, 2017, 86 :129-137
[5]   Intermittent synchronization of reaction-diffusion neural networks with mixed delays via Razumikhin technique [J].
Chen, Wu-Hua ;
Liu, Lijun ;
Lu, Xiaomei .
NONLINEAR DYNAMICS, 2017, 87 (01) :535-551
[6]   Impulsive Synchronization of Reaction-Diffusion Neural Networks With Mixed Delays and Its Application to Image Encryption [J].
Chen, Wu-Hua ;
Luo, Shixian ;
Zheng, Wei Xing .
IEEE Transactions on Neural Networks and Learning Systems, 2016, 27 (12) :2696-2710
[7]   Impulsive Stabilization and Impulsive Synchronization of Discrete-Time Delayed Neural Networks [J].
Chen, Wu-Hua ;
Lu, Xiaomei ;
Zheng, Wei Xing .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2015, 26 (04) :734-748
[8]   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
[9]   Stability and Hopf Bifurcation of a Reaction-Diffusion Neutral Neuron System with Time Delay [J].
Dong, Tao ;
Xia, Linmao .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2017, 27 (14)
[10]   Synchronization for a class of generalized neural networks with interval time-varying delays and reaction-diffusion terms [J].
Gan, Qintao ;
Liu, Tielin ;
Liu, Chang ;
Lv, Tianshi .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2016, 21 (03) :379-399