New complex projective synchronization strategies for drive-response networks with fractional complex-variable dynamics

被引：36

作者：

Xu, Quan ^{[1
,2
,3
]}

Xu, Xiaohui ^{[1
,4
]}

Zhuang, Shengxian ^{[3
]}

Xiao, Jixue ^{[2
]}

Song, Chunhua ^{[2
]}

Che, Chang ^{[2
,3
]}

机构：

[1] Xihua Univ, Minist Educ, Key Lab Fluid & Power Machinery, Chengdu 610039, Sichuan, Peoples R China

[2] Xihua Univ, Sch Mech Engn, Chengdu 610039, Sichuan, Peoples R China

[3] Southwest Jiaotong Univ, Sch Elect Engn, Chengdu 610031, Sichuan, Peoples R China

[4] Xihua Univ, Sch Automobile & Transportat, Chengdu 610039, Sichuan, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2018年 / 338卷

基金：

中国国家自然科学基金;

关键词：

Fractional calculus; Complex-variable; Complex projective synchronization; Drive-response networks; Fully decentralized adaptive; Hermitian form Lyapunov functionals; MITTAG-LEFFLER STABILITY; CLUSTER SYNCHRONIZATION; LYAPUNOV FUNCTIONS; ADAPTIVE-CONTROL; NEURAL-NETWORKS; SYSTEMS;

D O I：

10.1016/j.amc.2018.06.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper presents a fully decentralized adaptive scheme to solve the open problem of complex projective synchronization (CPS) in drive-response fractional complex-variable networks (DRFCVNs). Based on local mismatch with the desired state and between coupled nodes, several novel fully decentralized fractional adaptive (FDFA) strategies are proposed to adjust both the feedback control strengths and the coupling weights. By employing Hermitian form Lyapunov functionals and other fractional skills, some sufficient criteria are provided for CPS. Numerical simulation examples are finally employed to illustrate the efficiency of the new synchronization strategies. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：552 / 566

页数：15

共 50 条

[1] Complex projective synchronization in drive-response networks coupled with complex-variable chaotic systems
Wu, Zhaoyan
Fu, Xinchu
[J]. NONLINEAR DYNAMICS, 2013, 72 (1-2) : 9 - 15
[2] Complex projective synchronization in drive-response networks coupled with complex-variable chaotic systems
Zhaoyan Wu
Xinchu Fu
[J]. Nonlinear Dynamics, 2013, 72 : 9 - 15
[3] Complex projective synchronization in drive-response stochastic networks with switching topology and complex-variable systems
Wu, Xuefei
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
[4] Complex projective synchronization in drive-response stochastic networks with switching topology and complex-variable systems
Xuefei Wu
[J]. Advances in Difference Equations, 2015
[5] Complex function projective synchronization in drive-response complex-variable dynamical networks with coupling time delays
Han, Min
Zhang, Yamei
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (08): : 1742 - 1758
[6] Complex projective synchronization in drive-response stochastic coupled networks with complex-variable systems and coupling time delays
Wu, Xuefei
Xu, Chen
Feng, Jianwen
[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2015, 20 (03) : 1004 - 1014
[7] Complex Hybrid Synchronization in Drive-Response Complex-Variable Chaotic Systems
Wu, Zhaoyan
[J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2012, 13 (7-8) : 469 - 478
[8] Impulsive complex projective synchronization in drive-response complex coupled dynamical networks
Zheng, Song
[J]. NONLINEAR DYNAMICS, 2015, 79 (01) : 147 - 161
[9] Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems
Danfeng Liu
Zhaoyan Wu
Qingling Ye
[J]. Nonlinear Dynamics, 2014, 75 : 209 - 216
[10] Adaptive impulsive synchronization of uncertain drive-response complex-variable chaotic systems
Liu, Danfeng
Wu, Zhaoyan
Ye, Qingling
[J]. NONLINEAR DYNAMICS, 2014, 75 (1-2) : 209 - 216

← 1 2 3 4 5 →