Cluster synchronization in directed networks of partial-state coupled linear systems under pinning control

Automatica

Volumn 50, Issue 9, 2014, Pages 2341-2349

  Yu, Changbin ^a,b   Qin, Jiahu ^b,c   Gao, Huijun ^d,e  

^a HANGZHOU DIANZI UNIVERSITY   (China)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^d HARBIN INSTITUTE OF TECHNOLOGY   (China)

^e KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

Author keywords

Cluster synchronization; Complex networks; Partial state coupled linear systems; Pinning control

Indexed keywords

COMPLEX NETWORKS; COUPLINGS; LINEAR SYSTEMS; TOPOLOGY;

ARBITRARY SWITCHING; CLUSTER SYNCHRONIZATION; COUPLED LINEAR SYSTEMS; DIRECTED SPANNING TREES; FEEDBACK CONTROLLER; NETWORK TOPOLOGY; PINNING CONTROL; TOPOLOGICAL STRUCTURE;

SYNCHRONIZATION;

EID: 84908506881     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2014.07.013     Document Type: Article

References (30)

1. Belykh, V. N., Osipov, G. V., Petrov, V. S., Suykens, J. A. K., & Vandewalle, J. (2008). Cluster synchronization in oscillatory networks. Chaos, 18, 037106-1-037106-6.
2. Blondel, V. D., Hendrickx, J. M., & Tsitsiklis, J. N. (2009). On Krause's multiagent consensus model with state-dependent connectivity. IEEE Transactions on Automatic Control, 54(11), 2586-2597.
3. Dolby, A. S., & Grubb, T. C. (1998). Benefits to satellite members in mixed specifies foraging groups: an experimental analysis. Animal Behaviour, 56, 501-509.
4. Gantmacher, F. (1960). The theory of matrices, Vols. I and II. New York: Chelsea.
5. Godsil, C., & Doyle, G. (2001). Algebraic graph theory. New York: Springer.
6. Gray, C. M., König, P., Engel, A. K., & Singer, W. (1989). Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature, 338, 334-337.
7. Horn, R. A., & Johnson, C. R. (1991). Topics in matrix analysis. Cambridge, UK: Cambridge Univ. Press.
8. Huijberts, H. J. C., & Nijmeijer, H. (2000). An observer view on synchronization. Lecture Notes in Control and Information Sciences, 258, 509-520.
9. Li, Z., Duan, Z., Chen, G., & Huang, L. (2010). Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint. IEEE Transactions on Circuits and Systems I: Regular Papers, 57(1), 213-224.
10. Li, T., & Zhang, J. F. (2010). Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises. IEEE Transactions on Robotics and Automation, 55(9), 2043-2057.
11. Lin, Z., Francis, B., & Maggiore, B. (2007). State agreement for continuous-time coupled nonlinear systems. SIAM Journal on Control and Optimization, 46(1), 288-307.
12. Liu, X., & Chen, T. (2011). Cluster synchronization in directed networks via intermittent pinning control. IEEE Transactions on Neural Networks, 22(7), 1009-1020.
13. Ma, C., & Zhang, J. (2010). Necessary and sufficient conditions for consensusability of linear multi-agent systems. IEEE Transactions on Automatic Control, 55(5), 1263-1268.
14. Morse, A. S. (1996). Supervisory control of families of linear set-point controllers-part 1: exact matching. IEEE Transactions on Automatic Control, 41(10), 1413-1431.
15. Pogromsky, A., Santoboni, G., & Nijmeijer, H. (2002). Partial synchronization: from symmetry towards stability. Physica D, 172, 65-87.
16. Qin, J., Gao, H., & Zheng, W. X. (2014). Exponential synchronization of complex networks of linear system and nonlinear oscillators: a unified analysis. IEEE Transactions on Neural Networks and Learning Systems, http://dx.doi.org/10. 1109/TNNLS.2014.2316245.
17. Qin, J., & Yu, C. (2013a). Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition. Automatica, 49(9), 2898-2905.
18. Qin, J., & Yu, C. (2013b). Coordination of multiagents interacting under independent position and velocity topologies. IEEE Transactions on Neural Networks Learning System, 24(10), 1588-1597.
19. Qin, J., Zheng, W. X., & Gao, H. (2011). On pinning synchronisability of complex networks with arbitrary topological structure. International Journal of Systems Science, 42(9), 1559-1571.
20. Scardovi, L., & Sepulchre, R. (2009). Synchronization in networks of identical linear systems. Automatica, 45(11), 2557-2562.
21. Shen, B., Wang, Z., & Hung, Y. S. (2010). Distributed consensus H-infinity filtering in sensor networks with multiple missing measurements: the finite-horizon case. Automatica, 46(10), 1682-1688.
22. Su, Y., & Huang, J. (2012). Stability of a class of linear switching systems with applications to two consensus problems. IEEE Transactions on Automatic Control, 57(6), 1420-1430.
23. Winfree, A. T. (1980). The geometry of biological time. New York: Springer-Verlag.
24. Wu, W., Zhou, W., & Chen, T. (2009). Cluster synchronization of linearly coupled complex networks under pinning control. IEEE Transactions on Circuits and Systems. I Regular Papers, 56(4), 829-839.
25. Xia, W., & Cao, M. (2011). Clustering in diffusively coupled networks. Automatica, 47(11), 2395-2405.
26. Xiao, F., & Wang, L. (2008). Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays. IEEE Transactions on Automatic Control, 53(8), 1804-1816.
27. Yu, W., Chen, G., Lü, J., & Kurths, J. (2013). Synchronization via pinning control on general complex networks. SIAM Journal on Control and Optimization, 51(2), 1395-1416.
28. Yu, W., Chen, G., Wang, Z., & Yang, W. (2009). Distributed consensus filtering in sensor networks. IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), 39(6), 1568-1577.
29. Yu, J., & Wang, L. (2010). Group consensus in multi-agent systems with switching topologies and communication delays. Systems & Control Letters, 59(6), 340-348.
30. Zhang, Y., & Tian, Y. (2009). Consentability and protocol design of multi-agent systems with stochastic switching topology. Automatica, 45(5), 1195-1201.