IMPULSIVE EXPONENTIAL SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS WITH DERIVATIVE COUPLINGS VIA FEEDBACK CONTROL BASED ON DISCRETE TIME STATE OBSERVATIONS  

作　　者：Ruihong LI Huaiqin WU Jinde CAO 李瑞鸿;武怀勤;曹进德(School of Science,Yanshan University,Qinhuangdao 066001,China;School of Mathematics,Southeast University,Nanjing 210096,China;Yonsei Frontier Lab,Yonsei University,Seoul 03722,Korea)

机构地区：[1]School of Science,Yanshan University,Qinhuangdao 066001,China [2]School of Mathematics,Southeast University,Nanjing 210096,China [3]Yonsei Frontier Lab,Yonsei University,Seoul 03722,Korea

出　　处：《Acta Mathematica Scientia》2022年第2期737-754,共18页数学物理学报（B辑英文版）

基　　金：supported by Key Projectof Natural Science Foundation of China(61833005);the Natural Science Foundation of Hebei Province of China(A2018203288)。

摘　　要：This article aims to address the global exponential synchronization problem for fractional-order complex dynamical networks(FCDNs)with derivative couplings and impulse effects via designing an appropriate feedback control based on discrete time state observations.In contrast to the existing works on integer-order derivative couplings,fractional derivative couplings are introduced into FCDNs.First,a useful lemma with respect to the relationship between the discrete time observations term and a continuous term is developed.Second,by utilizing an inequality technique and auxiliary functions,the rigorous global exponential synchronization analysis is given and synchronization criterions are achieved in terms of linear matrix inequalities(LMIs).Finally,two examples are provided to illustrate the correctness of the obtained results.

关 键 词：Fractional-order complex dynamical networks fractional derivative couplings IMPULSES discrete time state observations 

分 类 号：O231[理学—运筹学与控制论] O157.5[理学—数学]