title: Synchronization of continuous dynamical networks with discrete-time communications.
abstract: In this paper, synchronization of continuous dynamical networks with discrete-time communications is studied. Though the dynamical behavior of each node is continuous-time, the communications between every two different nodes are discrete-time, i.e., they are active only at some discrete time instants. Moreover, the communication intervals between every two communication instants can be uncertain and variable. By choosing a piecewise Lyapunov-Krasovskii functional to govern the characteristics of the discrete communication instants and by utilizing a convex combination technique, a synchronization criterion is derived in terms of linear matrix inequalities with an upper bound for the communication intervals obtained. The results extend and improve upon earlier work. Simulation results show the effectiveness of the proposed communication scheme. Some relationships between the allowable upper bound of communication intervals and the coupling strength of the network are illustrated through simulations on a fully connected network, a star-like network, and a nearest neighbor network.
authors: Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan 430074, China. wangyw@mail.hust.edu.cn
authors: Yan-Wu
authors: YW
authors: Wang
authors: Jiang-Wen
authors: JW
authors: Xiao
authors: Changyun
authors: C
authors: Wen
authors: Zhi-Hong
authors: ZH
authors: Guan
mesh_terms: D000465:Algorithms; D001185:Artificial Intelligence; D003195:Computer Communication Networks; D003198:Computer Simulation; D008962:Models, Theoretical; D010363:Pattern Recognition, Automated / Q000379:methods*; D012815:Signal Processing, Computer-Assisted