Global behavior of dynamical agents in directed network  

作　　者：Hongwang YU Yufan ZHENG 

机构地区：[1]School of Mathematics and Statistic, Nanjing Audit University, Nanjing Jiangsu 211815, China [2]Department of Mathematics, East China Normal University, Shanghai 200062, China

出　　处：《控制理论与应用（英文版）》2009年第3期307-314,共8页

基　　金：supported by the National Natural Science Foundation of China (No.60674046)

摘　　要：This paper investigates the global behavior of controlled dynamical agents in directed networks. The agents are Lyapunov stable, are distributed in a line, and communicate through a directed network. The communication topology of the network is characterized by a directed graph and the control protocol is designed in simple linear decentralized feedback law. We study the different conditions under which agents will achieve aggregation, and critical and divergent trajectories, respectively. Our investigation on the dynamical agent system under network is extended to the time-delay network case. Furthermore, we study the case with two pre-specified virtual leaders in the system. Numerical simulations are given and demonstrate that our theoretical results are effective.This paper investigates the global behavior of controlled dynamical agents in directed networks. The agents are Lyapunov stable, are distributed in a line, and communicate through a directed network. The communication topology of the network is characterized by a directed graph and the control protocol is designed in simple linear decentralized feedback law. We study the different conditions under which agents will achieve aggregation, and critical and divergent trajectories, respectively. Our investigation on the dynamical agent system under network is extended to the time-delay network case. Furthermore, we study the case with two pre-specified virtual leaders in the system. Numerical simulations are given and demonstrate that our theoretical results are effective.

关 键 词：Dynamical agents Directed graph LAPLACIAN Hurwitz criteria 

分 类 号：TP393[自动化与计算机技术—计算机应用技术] F279.241[自动化与计算机技术—计算机科学与技术]