On pinning synchronization of general coupled networks

Nonlinear Dynamics

Volumn 64, Issue 4, 2011, Pages 339-348

  Xiang, Linying ^a   Zhu, Jonathan J H ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Chaotic system; Complex network; Pinning control; Stability; Synchronization

Indexed keywords

COMPLEX NETWORKS; COUPLED NETWORKS; LYAPUNOV APPROACH; PINNING CONTROL; PINNING DENSITY; PINNING STRENGTH; REAL NETWORKS; SATELLITE CHANNEL; SCALE FREE NETWORKS; SYNCHRONIZATION STATE;

CHAOTIC SYSTEMS; STATE FEEDBACK; SYNCHRONIZATION; TELEVISION NETWORKS;

STABILITY CRITERIA;

EID: 79959506210     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-010-9865-5     Document Type: Article

References (21)

1. D.J. Watts S.H. Strogatz 1998 Collective dynamics of 'small world' networks Nature 393 440 442 10.1038/30918 (Pubitemid 28292183)
2. A.-L. Barabási R. Albert 1999 Emergence of scaling in random networks science Science 286 509 512 2091634 10.1126/science.286.5439.509
3. R.O. Grigoriev M.C. Cross H.G. Schuster 1997 Pinning control of spatiotemporal chaos Phys. Rev. Lett. 79 15 2795 2798 10.1103/PhysRevLett.79. 2795 (Pubitemid 127645016)
4. F. Chen Z.Q. Chen L.Y. Xiang Z.X. Liu Z.Z. Yuan 2009 Reaching a consensus via pinning control Automatica 45 1215 1220 2531596 1162.93305 10.1016/j.automatica.2008.12.027
5. X.F. Wang G. Chen 2002 Pinning control of scale-free dynamical networks Physica A 310 521 531 1946327 0995.90008 10.1016/S0378-4371(02)00772-0 (Pubitemid 34716166)
6. X. Li X.F. Wang G. Chen 2004 Pinning a complex dynamical network to its equilibrium IEEE Trans. Circuits Syst. I 51 10 2074 2086 2096915 10.1109/TCSI.2004.835655
7. J. Xiang G. Chen 2007 On the V-stability of complex dynamical networks Automatica 43 1049 1057 2306751 05246818 10.1016/j.automatica.2006.11.014 (Pubitemid 46653803)
8. M. Porfiri M. di Bernardo 2008 Criteria for global pinning- controllability of complex networks Automatica 44 3100 3106 1153.93329
9. W.W. Yu G. Chen J. Lü 2009 On pinning synchronization of complex dynamical networks Automatica 45 429 435 1158.93308 10.1016/j.automatica.2008. 07.016
10. R. Li Z.S. Duan G. Chen 2009 Cost and effects of pinning control for network synchronization Chin. Phys. B 18 1 1 13 10.1088/1674-1056/18/1/049
11. L. Wang H.P. Dai H. Dong Y.Y. Cao Y.X. Sun 2008 Adaptive synchronization of weighted complex dynamical networks through pinning Eur. Phys. J. B 61 335 342 10.1140/epjb/e2008-00081-5 (Pubitemid 351347029)
12. T.P. Chen X.W. Liu W.L. Lu 2007 Pinning complex networks by a single controller IEEE Trans. Circuits Syst. I 54 6 1317 1326 2370589 10.1109/TCSI.2007.895383 (Pubitemid 46971536)
13. J.C. Zhao J. Lu X.Q. Wu 2010 Pinning adaptive synchronization of a general complex dynamical network Sci. China Inf. Sci. 53 4 813 822 2671420 10.1007/s11432-010-0039-3
14. L.Y. Xiang Z.X. Liu Z.Q. Chen F. Chen Z.Z. Yuan 2007 Pinning control of complex dynamical networks with general topology Physica A 379 298 306 10.1016/j.physa.2006.12.037 (Pubitemid 46453042)
15. L.Y. Xiang Z.Q. Chen Z.X. Liu F. Chen Z.Z. Yuan 2007 Stabilizing weighted complex networks J. Phys. A, Math. Theor. 40 14369 14382 2431851 1132.68312 10.1088/1751-8113/40/48/004
16. Xiang, L.Y., Zhu, J.J.H.: Eigenvalue based approach to pinning synchronization in general coupled networks. In: 48th IEEE CDC and 28th CCC, Shanghai, 16-18 December 2009
17. Pan, L., Zhou, W.N., Fang, J.-A., Li, D.Q.: A novel active pinning control for synchronization and anti-synchronization of new uncertain unified chaotic systems. Nonlinear Dyn. (2010)
18. Brualdi, R.A., Ryser, H.J.: Combinatorial Matrix Theory. Cambridge University Press, Cambridge (1991)
19. O.E. Rössler 1976 An equation for continuous chaos Phys. Lett. A 57 397 398 10.1016/0375-9601(76)90101-8
20. A.-L. Barabási R. Albert H. Jeong 1999 Mean-field theory for scale-free random networks Physica A 272 173 187 10.1016/S0378-4371(99)00291-5 (Pubitemid 30499165)
21. E.N. Lorenz 1963 Deterministic nonperiodic flow J. Atmos. Sci. 20 2 130 141 1146311 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO;2