| 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. |
| 关键词: Multi-agent system, directed network, pinning control, spectral analysis, synchronizability, synchronized region |
| DOI： |
| Received:March 10, 2014Revised:September 28, 2014 |
| 基金项目: |
|
| Pinning synchronization of networked multi-agent systems: spectral analysis |
| L. Xiang,F. Chen,G. Chen |
| (Department of Automation, Xiamen University;Department of Electronic Engineering, City University of Hong Kong) |
| Abstract: |
| 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. |
| Key words: Multi-agent system, directed network, pinning control, spectral analysis, synchronizability, synchronized region |
