Hybrid Synchronization of Fractional-Order Complex Networks Model via Fractional Order Controller  

作　　者：Dawei Ding Nana Kong Nian Wang Dong Liang 

机构地区：[1]School of Electronics and Information Engineering,Anhui University

出　　处：《Journal of Harbin Institute of Technology(New Series)》2018年第4期89-96,共8页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China(Grant No.61201227);the Funding of China Scholarship Council,the Natural Science Foundation of Anhui Province(Grant No.1208085MF93);the 211 Innovation Team of Anhui University(Grant Nos.KJTD007A and KJTD001B)

摘　　要：For the purpose of investigating two complex networks' hybrid synchronization,a controller with fractional-order is provided.Regarding hybrid synchronization which includes the outer synchronization and inner synchronization,some hybrid synchronization's sufficient conditions according to the Lyapunov stability theorem and the LaSalle invariance principle are proposed.Theoretical analysis suggests that,only when the state of driving-response networks is outer synchronization and each network is in inner synchronization,two coupled networks' hybrid synchronization under some suitable conditions could be reached.Finally,theoretical results are illustrated and validated with the given numerical simulations.For the purpose of investigating two complex networks＇ hybrid synchronization, a controller with fractional-order is provided. Regarding hybrid synchronization which includes the outer synchronization and inner synchronization, some hybrid synchronization＇s sufficient conditions according to the Lyapunov stability theorem and the LaSalle invariance principle are proposed. Theoretical analysis suggests that, only when the state of driving-response networks is outer synchronization and each network is in inner synchronization, two coupled networks＇ hybrid synchronization under some suitable conditions could be reached. Finally, theoretical results are illustrated and validated with the given numerical simulations.

关 键 词：hybrid synchronization complex network fractional-order controller Lyapunov stabilitytheorem LaSalle invariance principle 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]