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

被引：44
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
[1]   Lag synchronization for Cohen-Grossberg neural networks with mixed time-delays via periodically intermittent control [J].
Abdurahman, Abdujelil ;
Jiang, Haijun ;
Teng, Zhidong .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94 (02) :275-295
[2]   Finite-time control of linear systems subject to parametric uncertainties and disturbances [J].
Amato, F ;
Ariola, M ;
Dorato, P .
AUTOMATICA, 2001, 37 (09) :1459-1463
[3]   New Results on Impulsive Cohen-Grossberg Neural Networks [J].
Aouiti, Chaouki ;
Dridi, Farah .
NEURAL PROCESSING LETTERS, 2019, 49 (03) :1459-1483
[4]   A New LMI Approach to Finite and Fixed Time Stabilization of High-Order Class of BAM Neural Networks with Time-Varying Delays [J].
Aouiti, Chaouki ;
Li, Xiaodi ;
Miaadi, Foued .
NEURAL PROCESSING LETTERS, 2019, 50 (01) :815-838
[5]   Global exponential convergence of neutral-type competitive neural networks with multi-proportional delays, distributed delays and time-varying delay in leakage delays [J].
Aouiti, Chaouki ;
Assali, El abed ;
Cao, Jinde ;
Alsaedi, Ahmed .
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2018, 49 (10) :2202-2214
[6]   Impulsive generalized high-order recurrent neural networks with mixed delays: Stability and periodicity [J].
Aouiti, Chaouki ;
M'hamdi, Mohammed Salah ;
Cherif, Farouk ;
Alimi, Adel M. .
NEUROCOMPUTING, 2018, 321 :296-307
[7]   Existence and global exponential stability of pseudo almost periodic solution for neutral delay BAM neural networks with time-varying delay in leakage terms [J].
Aouiti, Chaouki ;
Ben Gharbia, Imen ;
Cao, Jinde ;
M'hamdi, Mohammed Salah ;
Alsaedi, Ahmed .
CHAOS SOLITONS & FRACTALS, 2018, 107 :111-127
[8]   Neutral impulsive shunting inhibitory cellular neural networks with time-varying coefficients and leakage delays [J].
Aouiti, Chaouki .
COGNITIVE NEURODYNAMICS, 2016, 10 (06) :573-591
[9]   Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].
Cao, J ;
Wang, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44
[10]   Stability analysis of delayed cellular neural networks [J].
Cao, JD ;
Zhou, DM .
NEURAL NETWORKS, 1998, 11 (09) :1601-1605
1234567