Pinning synchronization of networked multi-agent systems: spectral analysis

详细信息    查看全文

• 作者：Linying Xiang (1)
  Fei Chen (1)
  Guanrong Chen (2)
  
  1. Department of Automation ; Xiamen University ; Xiamen Fujian ; 361005 ; China
  2. Department of Electronic Engineering ; City University of Hong Kong ; Kowloon ; Hong Kong ; China
  
• 关键词：Multi ; agent system ; directed network ; pinning control ; spectral analysis ; synchronizability ; synchronized region
• 刊名：Journal of Control Theory and Applications
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：13
• 期：1
• 页码：45-54
• 全文大小：1,028 KB
• 参考文献：1. Ren, W, Beard, R W (2005) Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control 50: pp. 655-661 CrossRef
  2. Chen, F, Cao, Y, Ren, W (2012) Distributed average tracking of multiple time-varying reference signals with bounded derivatives. IEEE Transactions on Automatic Control 57: pp. 3169-3174 CrossRef
  3. Yu, W, Chen, G, L眉, J (2013) Synchronization via pinning control on general complex networks. SIAM Journal on Control and Optimization 51: pp. 1395-1416 CrossRef
  4. Li, Z, Duan, Z, Chen, G (2010) Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Transactions on Circuits and Systems 鈥?I 57: pp. 213-224 CrossRef
  5. Li, Z, Liu, X, Ren, W (2013) Distributed tracking control for linear multi-agent systems with a leader of bounded unknown input. IEEE Transactions on Automatic Control 58: pp. 518-523 CrossRef
  6. M. Barahona, L. M. Pecora. Synchronization in small-world systems. / Physical Review Letters, 2002, 89(5): DOI 10.1103/PhysRevLett.89.054101.
  7. C. Zhou, A. E. Motter, J. Kurths. Universality in the synchronization of weighted random networks. / Physical Review Letters, 2006, 96(3): DOI 10.1103/PhysRevLett.96.034101.
  8. G. Chen, Z. Duan. Network synchronizability analysis: a graph-theoretic approach. / Chaos, 2008, 18(3): DOI 10.1063/1.2965530.
  9. Shi, D, Chen, G, Thong, W W K (2013) Searching for optimal network topology with best possible synchronizability. IEEE Circuits and Systems Magazine 13: pp. 66-75 CrossRef
  10. A. Stefa艅ski, P. Perlikowski, T. Kapitaniak. Ragged synchronizability of coupled oscillators. / Physical Review E, 2007, 75(1): DOI 10.1103/PhysRevE.75.016210.
  11. Duan, Z, Chen, G, Huang, L (2008) Synchronization of weighted networks and complex synchronized regions. Physics Letters A 372: pp. 3741-3751 CrossRef
  12. Pecora, L M, Carroll, T L (1998) Master stability functions for synchronized coupled systems. Physical Review Letters 80: pp. 2109-2112 CrossRef
  13. Hu, G, Yang, J, Liu, W (1998) Instability and controllability of linearly coupled oscillators: eigenvalue analysis. Physical Review E 58: pp. 4440-4453 CrossRef
  14. Wang, X, Chen, G (2002) Pinning control of scale-free dynamical networks. Physica A 310: pp. 521-531 CrossRef
  15. Li, X, Wang, X, Chen, G (2004) Pinning a complex dynamical network to its equilibrium. IEEE Transactions on Circuits and Systems 鈥?I 51: pp. 2074-2087 CrossRef
  16. Xiang, J, Chen, G (2007) On the V-stability of complex dynamical networks. Automatica 43: pp. 1049-1057 CrossRef
  17. Xiang, L, Liu, Z, Chen, Z (2007) Pinning control of complex dynamical networks with general topology. Physica A 379: pp. 298-306 CrossRef
  18. Porfiri, M, Bernardo, M (2008) Criteria for global pinningcontrollability of complex networks. Automatica 44: pp. 3100-3106 CrossRef
  19. Chen, F, Chen, Z, Xiang, L (2009) Reaching a consensus via pinning control. Automatica 45: pp. 1215-1220 CrossRef
  20. Wu, C W, Chua, L O (1995) Application of Kronecker products to the analysis of systems with uniform linear coupling. IEEE Transactions on Circuits and Systems - I 42: pp. 775-778 CrossRef
  21. R枚ssler, O E (1976) An equation for continuous chaos. Physics Letters A 57: pp. 397-398 CrossRef
  22. Chen, G, Ueta, T (1999) Yet another chaotic attractor. International Journal of Bifurcation and Chaos 9: pp. 1465-1466 CrossRef
  23. K. Wang, X. Fu, K. Li. Cluster synchronization in community networks with nonidentical nodes. / Chaos, 2009, 19(2): DOI 10.1063/1.3125714.
  24. Qin, W, Chen, G (2004) Coupling schemes for cluster synchronization in coupled Josephson equations. Physica D 197: pp. 375-391 CrossRef
  
• 刊物类别：Computer Science
• 刊物主题：Control Structures and Microprogramming
  Chinese Library of Science
  
• 出版者：South China University of Technology and Academy of Mathematics and Systems Science, CAS
• ISSN：1993-0623

文摘

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.