New results on the general decay synchronization of delayed neural networks with general activation functions

被引：19
作者：
Abdurahman, Abdujelil [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源：
NEUROCOMPUTING | 2018年 / 275卷
基金：
中国国家自然科学基金;
关键词：
Neural network; General decay synchronization; General activation function; Varying-time delay; TIME-VARYING DELAYS; PROJECTIVE SYNCHRONIZATION; STABILITY ANALYSIS; IMPULSIVE CONTROL; ROBUST STABILITY; SYSTEMS; CHAOS;
D O I：
10.1016/j.neucom.2017.11.036
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 general decay synchronization (GDS) of a type of neural networks (NNs) with general neuron activation functions and varying-time delays. By introducing suitable Lyapunov functional and employing useful inequality techniques, some simple and useful sufficient conditions ensuring the GDS of considered NNs are established via designing a novel nonlinear feedback controller. In addition, two examples are presented to show the effectiveness of the established theoretical results. The polynomial synchronization, asymptotical synchronization, and exponential synchronization can be seen the special cases of the GDS. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：2505 / 2511
页数：7
相关论文
共 23 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 synchronization for fuzzy cellular neural networks withtime-varying delays [J].
Abdurahman, Abdujelil ;
Jiang, Haijun ;
Teng, Zhidong .
FUZZY SETS AND SYSTEMS, 2016, 297 :96-111
[3]   The existence and stability of the anti-periodic solution for delayed Cohen-Grossberg neural networks with impulsive effects [J].
Abdurahman, Abdujelil ;
Jiang, Haijun .
NEUROCOMPUTING, 2015, 149 :22-28
[4]   Function projective synchronization of impulsive neural networks with mixed time-varying delays [J].
Abdurahman, Abdujelil ;
Jiang, Haijun ;
Teng, Zhidong .
NONLINEAR DYNAMICS, 2014, 78 (04) :2627-2638
[5]   Global asymptotic stability analysis of bidirectional associative memory neural networks with constant time delays [J].
Arik, S ;
Tavsanoglu, V .
NEUROCOMPUTING, 2005, 68 :161-176
[6]   A new condition for robust stability of uncertain neural networks with time delays [J].
Arik, Sabri .
NEUROCOMPUTING, 2014, 128 :476-482
[7]   Global μ-stability of delayed neural networks with unbounded time-varying delays [J].
Chen, Tianping ;
Wang, Lili .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2007, 18 (06) :1836-1840
[8]   An adaptive chaos synchronization scheme applied to secure communication [J].
Feki, M .
CHAOS SOLITONS & FRACTALS, 2003, 18 (01) :141-148
[9]   Stability of artificial neural networks with impulses [J].
Gopalsamy, K .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (03) :783-813
[10]   STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].
GOPALSAMY, K ;
HE, XZ .
PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358
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