Finite-Time and Fixed-Time Synchronization of Inertial Cohen-Grossberg-Type Neural Networks with Time Varying Delays

被引：39
作者：
Aouiti, Chaouki [1 ]
Assali, El Abed [1 ]
El Foutayeni, Youssef [2 ]
机构：
[1] Univ Carthage, Fac Sci Bizerta, Dept Math, UR13ES47 Res Units Math & Applicat, Bizerte 7021, Tunisia
[2] Hassan II Univ Casablanca, Anal Modeling & Simulat Lab, Casablanca, Morocco
来源：
NEURAL PROCESSING LETTERS | 2019年 / 50卷 / 03期
关键词：
Inertial Cohen-Grossberg-type; Neural networks; Finite-time synchronization; Fixed-time synchronization; Time-varying delays; GLOBAL EXPONENTIAL STABILITY; MIXED DELAYS; SYSTEMS; STABILIZATION;
D O I：
10.1007/s11063-019-10018-8
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 is devoted to studying the finite-time and fixed-time of inertial Cohen-Grossberg type neural networks (ICGNNs) with time varying delays. First, by constructing a proper variable substitution, the original (ICGNNs) can be rewritten as first-order differential system. Second, by utilizing feedback controllers and constructing suitable Lyapunov functionals, several new sufficient conditions guaranteeing the finite-time and the fixed-time synchronization of ICGNNs with time varying delays are obtained based on different finite-time synchronization analysis techniques. The obtained sufficient conditions are simple and easy to verify. Numerical simulations are given to illustrate the effectiveness of the theoretical results.
引用
收藏
页码：2407 / 2436
页数：30
相关论文
共 66 条
[51]   Finite-Time Cluster Synchronization of T-S Fuzzy Complex Networks With Discontinuous Subsystems and Random Coupling Delays [J].
Yang, Xinsong ;
Ho, Daniel W. C. ;
Lu, Jianquan ;
Song, Qiang .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (06) :2302-2316
[52]   Finite-time synchronization of coupled discontinuous neural networks with mixed delays and nonidentical perturbations [J].
Yang, Xinsong ;
Song, Qiang ;
Liang, Jinling ;
He, Bin .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2015, 352 (10) :4382-4406
[53]   Can neural networks with arbitrary delays be finite-timely synchronized? [J].
Yang, Xinsong .
NEUROCOMPUTING, 2014, 143 :275-281
[54]   Synchronization of delayed complex dynamical networks with impulsive and stochastic effects [J].
Yang, Xinsong ;
Cao, Jinde ;
Lu, Jianquan .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) :2252-2266
[55]   Exponential synchronization of Cohen-Grossberg neural networks via periodically intermittent control [J].
Yu, Juan ;
Hu, Cheng ;
Jiang, Haijun ;
Teng, Zhidong .
NEUROCOMPUTING, 2011, 74 (10) :1776-1782
[56]   New global exponential stability conditions for inertial Cohen-Grossberg neural networks with time delays [J].
Yu, Shenghua ;
Zhang, Zhengqiu ;
Quan, Zhiyong .
NEUROCOMPUTING, 2015, 151 :1446-1454
[57]   Synchronization control of switched linearly coupled neural networks with delay [J].
Yu, Wenwu ;
Cao, Jinde ;
Lu, Wenlian .
NEUROCOMPUTING, 2010, 73 (4-6) :858-866
[58]   Finite-Time Synchronization of Discontinuous Neural Networks With Delays and Mismatched Parameters [J].
Zhang, Wanli ;
Yang, Xinsong ;
Xu, Chen ;
Feng, Jianwen ;
Li, Chuandong .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (08) :3761-3771
[59]   Fixed-time synchronization of complex networks with nonidentical nodes and stochastic noise perturbations [J].
Zhang, Wanli ;
Li, Chuandong ;
Huang, Tingwen ;
Huang, Junjian .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 492 :1531-1542
[60]   Global exponential stability via inequality technique for inertial BAM neural networks with time delays [J].
Zhang, Zhengqiu ;
Quan, Zhiyong .
NEUROCOMPUTING, 2015, 151 :1316-1326
1234567