Hilger-type impulsive differential inequality and its application to impulsive synchronization of delayed complex networks on time scales  

作　　者：Zhenkun HUANG Jinde CAO Youssef N.RAFFOUL 

机构地区：[1]School of Science, Jimei University [2]School of Mathematics, Southeast University [3]Department of Mathematics, University of Dayton

出　　处：《Science China(Information Sciences)》2018年第7期219-221,共3页中国科学（信息科学）（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 61573005, 11361010, 61573096, 61272530)

摘　　要：The synchronization and synchronous control of complex networks [1] have rich dynamics and are lately receiving much needed attention [2-6]. Owing to the major role that impulsive control plays [6] in investigating synchronization problems and impulsive synchronization in dynamical networks, researchers have devoted more time researching them [2-6]. However, most of the existing literature concerning impulsive effects are confined to continuous or discrete time domains [2, 6]. In this article, we establish Hilger-type impulsive differential inequality [7] which is a useful technical tool in investigating complex dynamic systems under impulsive disturbances.The synchronization and synchronous control of complex networks [1] have rich dynamics and are lately receiving much needed attention [2-6]. Owing to the major role that impulsive control plays [6] in investigating synchronization problems and impulsive synchronization in dynamical networks, researchers have devoted more time researching them [2-6]. However, most of the existing literature concerning impulsive effects are confined to continuous or discrete time domains [2, 6]. In this article, we establish Hilger-type impulsive differential inequality [7] which is a useful technical tool in investigating complex dynamic systems under impulsive disturbances.

关 键 词：Hilger-type impulsive differential inequality and its application to impulsive synchronization of delayed complex networks on time scales 

分 类 号：O157.5[理学—数学]