Pinning synchronization of networked multi-agent systems: spectral analysis  

作　　者：Linying XIANG Fei CHEN Guanrong CHEN 

机构地区：[1]Department of Automation, Xiamen University [2]Department of Electronic Engineering, City University of Hong Kong

出　　处：《Control Theory and Technology》2015年第1期45-54,共10页控制理论与技术（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.61104151,61104018,61473240);the Science Foundation of Fujian Province(No.2012J01289);the Hong Kong Research Grants Council under the GRF Grant CityU 1120/14

摘　　要：Pinning synchronization of a networked multi-agent system with a directed communication topology is investigated from a spectral analysis approach. Some new types of synchronized regions for networked systems with different nonlinear agent dynamics and inner coupling structures are discovered. The eigenvalue distributions of the coupling and control matrices for different types of directed networks are obtained. The effects of the network topology, pinning density and pinning strength on the network synchronizability are examined through extensive numerical simulations. It is shown that the synchronizability of the pinned network can be effectively improved by increasing pinning density and pinning strength for some types of synchronized regions, whereas too large the pinning density and pinning strength will lead to desynchronization for other types. It is found that directed random networks are not always easier to synchronize than directed small-world networks, and a denser eigenvalue distribution may not always imply better synchronizability.Pinning synchronization of a networked multi-agent system with a directed communication topology is investigated from a spectral analysis approach. Some new types of synchronized regions for networked systems with different nonlinear agent dynamics and inner coupling structures are discovered. The eigenvalue distributions of the coupling and control matrices for different types of directed networks are obtained. The effects of the network topology, pinning density and pinning strength on the network synchronizability are examined through extensive numerical simulations. It is shown that the synchronizability of the pinned network can be effectively improved by increasing pinning density and pinning strength for some types of synchronized regions, whereas too large the pinning density and pinning strength will lead to desynchronization for other types. It is found that directed random networks are not always easier to synchronize than directed small-world networks, and a denser eigenvalue distribution may not always imply better synchronizability.

关 键 词：Multi-agent system directed network pinning control spectral analysis SYNCHRONIZABILITY synchronized region 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] TU473.16[自动化与计算机技术—控制科学与工程]