Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 57, Issue 8, 2010, Pages 2182-2195

  Guan, Zhi Hong ^a   Liu, Zhi Wei ^a   Feng, Gang ^b   Wang, Yan Wu ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Complex dynamical networks; control topology; global exponential synchronization; impulsive distributed control; time delay

Indexed keywords

COMPLEX NETWORKS; CONTROLLERS; DELAY CONTROL SYSTEMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; SYNCHRONIZATION; TIME DELAY; TIME VARYING NETWORKS; TOPOLOGY;

COMPLEX DYNAMICAL NETWORKS; CONTROL TOPOLOGIES; DISTRIBUTED CONTROL; DISTRIBUTED CONTROL STRATEGY; EXPONENTIAL CONVERGENCE RATE; EXPONENTIAL SYNCHRONIZATION; GLOBAL EXPONENTIAL SYNCHRONIZATIONS; MULTIPLE COUPLING DELAYS;

TIME VARYING CONTROL SYSTEMS;

EID: 77955664759     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2009.2037848     Document Type: Article

References (42)

1. S. H. Strogatz, "Exploring complex networks," Nature, vol.410, pp. 268-276, 2001.
2. M. E. J. Newman, "The structure and function of complex networks," SIAM Rev., vol.45, pp. 167-256, 2003.
3. R. Albert and A. L. Barabási, "Statistical mechanics of complex networks," Rev. Mod. Phys., vol.74, pp. 47-97, 2002.
4. G. Osipov, J. Kurths, and C. Zhou, Synchronization in Oscillatory Networks. Berlin, Germany: Springer, 2007.
5. C. W.Wu, Synchronization in Complex Networks of Nonlinear Dynamical Systems. Singapore: World Scientific, 2007.
6. A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, "Synchronization in complex networks," Phys. Rep., vol.469, pp. 95-153, 2008.
7. Q. Zhang, J. Lu, J. Lü, and C. K. Tse, "Adaptive feedback synchronization of a general complex dynamical network with delayed nodes," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol.55, no.2, pp. 183-187, Feb. 2008.
8. J. Zhou and T. Chen, "Synchronization in general complex delayed dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.53, no.3, pp. 733-744, Mar. 2006.
9. W. Lu, T. Chen, and G. Chen, "Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay," Phys. D, vol.221, pp. 118-134, 2006. (Pubitemid 44332585)
10. S. Cai, J. Zhou, L. Xiang, and Z. Liu, "Robust impulsive synchronization of complex delayed dynamical networks," Phys. Lett. A, vol.372, pp. 4990-4995, 2008.
11. Q. Wang, Z. Duan, G. Chen, and Z. Feng, "Synchronization in a class of weighted complex networks with coupling delays," Phys. A, Stat. Mech. Appl, vol.387, pp. 5616-5622, 2008.
12. W. Yu, J. Cao, and J. Lü, "Global synchronization of linearly hybrid coupled networks with time-varying delay," SIAM J. Appl. Dyn. Syst., vol.7, pp. 108-133, 2008.
13. S. Wen, S. Chen, and W. Guo, "Adaptive global synchronization of a general complex dynamical network with non-delayed and delayed coupling," Phys. Lett. A, vol.372, pp. 6340-6346, 2008.
14. J. Lü and G. Chen, "A time-varying complex dynamical network model and its controlled synchronization criteria," IEEE Trans. Autom. Control, vol.50, no.6, pp. 841-846, Jun. 2005.
15. X. Wu, "Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay," Phys. A, Stat. Mech. Appl, vol.387, pp. 997-1008, 2008.
16. F. Sorrentino and E. Ott, "Adaptive synchronization of dynamics on evolving complex networks," Phys. Rev. Lett., vol.100, p. 114101, 2008.
17. M. Barahona and L. M. Pecora, "Synchronization in small-world systems," Phys. Rev. Lett., vol.89, p. 054101, 2002.
18. C. W. Wah and L. O. Chua, "Synchronization in an array of linearly coupled dynamical systems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol.42, no.8, pp. 430-447, Aug. 1995.
19. Z. Li and G. Chen, "Global synchronization and asymptotic stability of complex dynamical networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol.53, no.1, pp. 28-33, Jan. 2006. (Pubitemid 46511147)
20. M. Chen, "Chaos synchronization in complex networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.55, no.5, pp. 1335-1346, Jun. 2008.
21. M. Porfiri and R. Pigliacampo, "Master-slave global stochastic synchronization of chaotic oscillators," SIAM J. Appl. Dyn. Syst., vol.7, pp. 825-842, 2008.
22. I. V. Belykh, V. N. Belykh, and M. Hasler, "Blinking model and synchronization in small-world networks with a time-varying coupling," Phys. D, vol.195, pp. 188-206, 2004.
23. J. Zhou, L. Xiang, and Z. Liu, "Synchronization in complex delayed dynamical networks with impulsive effects," Phys. A, Stat. Mech. Appl, vol.384, pp. 684-692, 2007. (Pubitemid 47285626)
24. J. Zhou, J. A. Lu, and J. H. Lü, "Adaptive synchronization of an uncertain complex dynamical network," IEEE Trans. Autom. Control, vol.51, no.4, pp. 652-656, Apr. 2006.
25. H. Zhang, Z. H. Guan, and G. Feng, "Reliable dissipative control for stochastic impulsive systems," Automatica, vol.44, pp. 1004-1010, 2008.
26. Z. H. Guan, D. J. Hill, and X. Shen, "Hybrid impulsive and switching systems and application to control and synchronization," IEEE Trans. Autom. Control, vol.50, no.7, pp. 1058-1062, Jul. 2005.
27. Z. H. Guan, G. Chen, and T. Ueta, "On impulsive control of a periodically forced chaotic pendulum system," IEEE Trans. Autom. Control, vol.45, no.9, pp. 1724-1727, Sep. 2000.
28. G. Zhang, Z. Liu, and Z. Ma, "Synchronization of complex dynamical networks via impulsive control," Chaos, vol.17, p. 043126, 2007.
29. B. Liu, X. Liu, G. Chen, and H. Wang, "Robust impulsive synchronization of uncertain dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.52, no.7, pp. 1431-1441, Jul. 2005. (Pubitemid 41081627)
30. X. Li, X. Wang, and G. Chen, "Pinning a complex dynamical network to its equilibrium," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.51, no.10, pp. 2074-2087, Oct. 2004.
31. T. Chen, X. Liu, and W. Lu, "Pinning complex networks by a single controller," IEEE Trans. Circuits Syst. I, Reg. Papers, vol.54, no.6, pp. 1317-1326, Jun. 2007.
32. J. Zhou, J. Lu, and J. Lü, "Pinning adaptive synchronization of a general complex dynamical network," Automatica, vol.44, pp. 996-1003, 2008.
33. M. Porfiri and M. diBernardo, "Criteria for global pinning-controllability of complex networks," Automatica, vol.44, pp. 3100-3106, 2008.
34. J. Xiang and G. Chen, "On the V-stability of complex dynamical networks," Automatica, vol.43, pp. 1049-1057, 2007.
35. W. Lu, "Adaptive dynamical networks via neighborhood information: Synchronization and pinning control," Chaos, vol.17, p. 023122, 2007.
36. C. Zhou and J. Kurths, "Dynamical weights and enhanced synchronization in adaptive complex networks," Phys. Rev. Lett., vol.96, p. 164102, 2006.
37. P. deLellis, M. diBernardo, and F. Garofalo, "Synchronization of complex networks through local adaptive coupling," Chaos, vol.18, p. 037110, 2008.
38. P. DeLellis, M. diBernardo, and F. Garofalo, "Novel decentralized adaptive strategies for the synchronization of complex networks," Automatica, vol.45, pp. 1312-1318, 2009.
39. Z. Yang and D. Xu, "Stability analysis and design of impulsive control systems with time delay," IEEE Trans. Autom. Control, vol.52, pp. 1448-1454, 2007. (Pubitemid 47316692)
40. R. Horn and C. Johnson, Martix Analysis. New York: Springer- Verlag, 2001.
41. H. Lu, "Chaotic attractors in delayed neural networks," Phys. Lett. A, vol.298, pp. 109-116, 2002.
42. M. J. E. Newman and D. J. Watts, "Renormalization group analysis of the small-world network model," Phys. Lett. A, vol.263, pp. 341-346, 1999.