Finite-time complex projective synchronization of fractional-order complex-valued uncertain multi-link network and its image encryption application  

作　　者：Yong-Bing Hu Xiao-Min Yang Da-Wei Ding Zong-Li Yang 胡永兵;杨晓敏;丁大为;杨宗立(School of Electronics and Information Engineering,Anhui University,Hefei 230601,China;National Engineering Research Center for Agro-Ecological Big Data Analysis&Application,Anhui University,Hefei 230601,China)

机构地区：[1]School of Electronics and Information Engineering,Anhui University,Hefei 230601,China [2]National Engineering Research Center for Agro-Ecological Big Data Analysis&Application,Anhui University,Hefei 230601,China

出　　处：《Chinese Physics B》2022年第11期244-255,共12页中国物理B（英文版）

摘　　要：Multi-link networks are universal in the real world such as relationship networks,transportation networks,and communication networks.It is significant to investigate the synchronization of the network with multi-link.In this paper,considering the complex network with uncertain parameters,new adaptive controller and update laws are proposed to ensure that complex-valued multilink network realizes finite-time complex projective synchronization(FTCPS).In addition,based on fractional-order Lyapunov functional method and finite-time stability theory,the criteria of FTCPS are derived and synchronization time is given which is associated with fractional order and control parameters.Meanwhile,numerical example is given to verify the validity of proposed finite-time complex projection strategy and analyze the relationship between synchronization time and fractional order and control parameters.Finally,the network is applied to image encryption,and the security analysis is carried out to verify the correctness of this method.

关 键 词：multi-links network fractional order complex-valued network finite-time complex projective synchronization image encryption 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构] O157.5[自动化与计算机技术—计算机科学与技术] O231[理学—数学]