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

被引：37
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
收藏
页码：552 / 566
页数：15
相关论文
共 50 条
  • [21] Adaptive-impulsive control for projective synchronization in the drive-response complex network with time-varying coupling
    Zeng Chang-Yan
    Sun Mei
    Tian Li-Xin
    ACTA PHYSICA SINICA, 2010, 59 (08) : 5288 - 5292
  • [22] Adaptive Synchronization of Fractional Order Complex-Variable Dynamical Networks via Pinning Control
    Ding, Da-Wei
    Yan, Jie
    Wang, Nian
    Liang, Dong
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2017, 68 (03) : 366 - 374
  • [23] Adaptive-impulsive projective synchronization of drive-response delayed complex dynamical networks with time-varying coupling
    Zheng, Song
    NONLINEAR DYNAMICS, 2012, 67 (04) : 2621 - 2630
  • [24] Finite-time cluster synchronization in complex-variable networks with fractional-order and nonlinear coupling
    Yang, Shuai
    Hu, Cheng
    Yu, Juan
    Jiang, Haijun
    NEURAL NETWORKS, 2021, 135 (135) : 212 - 224
  • [25] Pinning synchronization of fractional order complex-variable dynamical networks with time-varying coupling
    Ding, Dawei
    Yan, Jie
    Wang, Nian
    Liang, Dong
    CHAOS SOLITONS & FRACTALS, 2017, 104 : 41 - 50
  • [26] Impulsive synchronization of fractional-order complex-variable dynamical network
    Yu Xiong
    Zhaoyan Wu
    Advances in Difference Equations, 2021
  • [27] The Impulsive Control of the Projective Synchronization in the Drive-Response Dynamical Networks with Coupling Delay
    Xu, Xianyun
    Gao, Yun
    Zhao, Yanhong
    Yang, Yongqing
    ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 520 - 527
  • [28] Impulsive synchronization of fractional-order complex-variable dynamical network
    Xiong, Yu
    Wu, Zhaoyan
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [29] Adaptive Hybrid Function Projective Synchronization In Drive-response Discrete Networks With Delay Coupling
    Al-mahbashi, Ghada
    Noorani, M. S. Md
    Abu Bakar, Sakhinah
    4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY, 2017, 1830
  • [30] Synchronization of Drive-Response Networks with Delays on Time Scales
    Tan, Yanxia
    Huang, Zhenkun
    IEEE-CAA JOURNAL OF AUTOMATICA SINICA, 2024, 11 (04) : 1063 - 1065
12345