Global synchronization of fractional complex networks with non-delayed and delayed couplings

被引：15

作者：

Wu, Xiang ^{[1
]}

Liu, Song ^{[1
]}

Yang, Ran ^{[1
]}

Zhang, Yan-Jie ^{[1
]}

Li, Xiaoyan ^{[1
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Anhui, Peoples R China

来源：

NEUROCOMPUTING | 2018年 / 290卷

关键词：

Fractional complex network; Global synchronization; Delay; Razumikhin theorem; ORDER NEURAL-NETWORKS; DYNAMICAL NETWORKS; ASYMPTOTICAL STABILITY; PROJECTIVE SYNCHRONIZATION; PINNING SYNCHRONIZATION; SYSTEMS;

D O I：

10.1016/j.neucom.2018.02.026

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 deals with global synchronization of fractional complex networks with non-delayed and delayed couplings. Applying fractional Razumikhin theorem, a simple quadratic Lyapunov function is constructed and two linear matrix inequality (LMI) criteria on global synchronization are proposed. It is very convenient and efficient to check synchronization of the presented network models by using our proposed method. Finally, numerical simulations are given to show the efficiency of the obtained results. (c) 2018 Elsevier B.V. All rights reserved.

引用

页码：43 / 49

页数：7

共 35 条

[1]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[2] Evolutionary capacitance as a general feature of complex gene networks [J].

Bergman, A ;

Siegal, ML .

NATURE, 2003, 424 (6948) :549-552

[3] Novel delay-dependent robust stability criteria for neutral stochastic delayed neural networks [J].

Chen, Huabin ;

Zhang, Yong ;

Hu, Peng .

NEUROCOMPUTING, 2010, 73 (13-15) :2554-2561

[4] Generalized synchronization of complex dynamical networks via impulsive control [J].

Chen, Juan ;

Lu, Jun-an ;

Wu, Xiaoqun ;

Zheng, Wei Xing .

CHAOS, 2009, 19 (04)

[5] Pinning synchronization of fractional-order delayed complex networks with non-delayed and delayed couplings [J].

Chen, Liping ;

Wu, Ranchao ;

Chu, Zhaobi ;

He, Yigang ;

Yin, Lisheng .

INTERNATIONAL JOURNAL OF CONTROL, 2017, 90 (06) :1245-1255

[6] On QUAD, Lipschitz, and Contracting Vector Fields for Consensus and Synchronization of Networks [J].

DeLellis, Pietro ;

di Bernardo, Mario ;

Russo, Giovanni .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (03) :576-583

[7] Projective synchronization of nonidentical fractional-order neural networks based on sliding mode controller [J].

Ding, Zhixia ;

Shen, Yi .

NEURAL NETWORKS, 2016, 76 :97-105

[8] Global Mittag-Leffler synchronization of fractional-order neural networks with discontinuous activations [J].

Ding, Zhixia ;

Shen, Yi ;

Wang, Leimin .

NEURAL NETWORKS, 2016, 73 :77-85

[9] Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems [J].

Duarte-Mermoud, Manuel A. ;

Aguila-Camacho, Norelys ;

Gallegos, Javier A. ;

Castro-Linares, Rafael .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 22 (1-3) :650-659

[10] Synchronization for fractional-order time-delayed memristor-based neural networks with parameter uncertainty [J].

Gu, Yajuan ;

Yu, Yongguang ;

Wang, Hu .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (15) :3657-3684

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