Robust H_∞ cluster synchronization analysis of Lurie dynamical networks  

作　　者：郭凌 年晓红 潘欢 邴志桐 

机构地区：[1]College of Electrical Engineering, Northwest University for Nationalities [2]College of Information Science and Engineering, Central South University [3]College of Physics Electrical Information Engineering, Ningxia University [4]Institute of Modern Physics, Chinese Academy of Sciences

出　　处：《Chinese Physics B》2014年第4期162-170,共9页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.61075065,60774045,and U1134108);the Talent Introduction Scientific Research Foundation of Northwest University for Nationalities(Grant No.xbmuyjrc201304);the Foundation for Young Talents of Gansu Province,China(Grant No.1208RJYA013)

摘　　要：The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with exter- nal disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchro- nized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.The cluster synchronization problem of complex dynamical networks with each node being a Lurie system with exter- nal disturbances and time-varying delay is investigated in this paper. Some criteria for cluster synchronization with desired H∞ performance are presented by using a local linear control scheme. Firstly, sufficient conditions are established to realize cluster synchronization of the Lurie dynamical networks without time delay. Then, the notion of the cluster synchronized region is introduced, and some conditions guaranteeing the cluster synchronized region and unbounded cluster synchro- nized region are derived. Furthermore, the cluster synchronization and cluster synchronized region in the Lurie dynamical networks with time-varying delay are considered. Numerical examples are finally provided to verify and illustrate the theoretical results.

关 键 词：luster synchronization Lurie dynamics network H∞ performance time-varying delay 

分 类 号：O157.5[理学—数学]