Adaptive feedback synchronization of a general complex dynamical network with delayed nodes

IEEE Transactions on Circuits and Systems II: Express Briefs

Volumn 55, Issue 2, 2008, Pages 183-187

  Zhang, Qunjiao ^a   Lu, Junan ^a   Lu, Jinhu ^a,b   Tse, Chi K ^c  

^a WUHAN UNIVERSITY   (China)

^b INSTITUTE OF SYSTEMS SCIENCE   (China)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Adaptive feedback synchronization; Complex networks; Delayed nodes

Indexed keywords

FEEDBACK; SYNCHRONIZATION;

ADAPTIVE CONTROLLERS; ADAPTIVE FEEDBACK; ASYMPTOTIC SYNCHRONIZATION; COLLECTIVE BEHAVIOR; COMPLEX DYNAMICAL NETWORKS; DELAYED NODES; DYNAMICAL MECHANISMS; NETWORK SYNCHRONIZATION;

COMPLEX NETWORKS;

EID: 54749148714     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2007.911813     Document Type: Article

References (18)

1. S. H. Strogatz, "Exploring complex networks," Nature, vol. 410, no. 6825, pp. 268-276, Mar. 2001.
2. R. Albert and A.-L. Barabási, "Statistical mechanics of complex networks," Rev. Mod. Phys., vol. 74, no. 1, pp. 47-97, Jan. 2002.
3. H. Hong, M. Y. Choi, and B. J. Kim, "Synchronization on small-world networks," Phys. Rev. E, vol. 65, no. 5, pp. 26-139, Jan. 2002.
4. J. Lü, X. H. Yu, G. Chen, and D. Z. Cheng, "Characterizing the synchronizability of small-world dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 4, pp. 787-796, Apr. 2004.
5. C. W. Wu, "Synchronization and convergence of linear dynamics in random directed networks," IEEE Trans. Autom. Control, vol. 51, no. 7, pp. 1207-1210, Jul. 2006.
6. 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.
7. J. Lü, X. Yu, and G. Chen, "Chaos synchronization of general complex dynamical networks," Phys. A, vol. 334, no. 1-2, pp. 281-302, Mar. 2004.
8. 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.
9. C. Li, H. Xu, X. Liao, and J. Yu, "Synchronization in small-world oscillator networks with coupling delays," Phys. A, vol. 335, no. 3-4, pp. 359-364, Apl. 2004.
10. J. Zhou, Z. Liu, and G. Chen, "Dynamics of delayed nerual networks," Neur. Networks, vol. 17, no. 1, pp. 87-101, Jan. 2004.
11. C. Li, S. Li, X. Liao, and J. Yu, "Synchronization in coupled map lattices with small-world delayed interactions," Phys. A, vol. 335, no. 3-4, pp. 365-370, Apr. 2004.
12. B. Mensour and A. Longtin, "Synchronization of delay-differential equations with application to private communication," Phys. Lett. A vol. 244, no. 1-3, pp. 59-70, Jul. 1998.
13. K. Pyragas, "Synchronization of coupled time-delay systems: Analytical estimations," Phys. Rev. E, vol. 58, no. 3, pp. 3067-3071, Sep. 1998.
14. C. Li, X. Liao, and K. Wong, "Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication," Phys. D, vol. 194, no. 3-4, pp. 187-202, Jul. 2004.
15. M. Jiang, Y. Shen, J. Jian, and X. Liao, "Stability, bifurcation and a new chaos in the logistic differential equation with delay," Phys. Lett. A, vol. 350, no. 3-4, pp. 221-227, Feb. 2006.
16. J. Zhou, J. Lu, and J. Lü, "Adaptive synchronization of an uncertain complex dynamical network," IEEE Trans. Autom. Control, vol. 51, no. 4, pp. 652-656, Apr. 2006.
17. F. Sorrentino, M. di Bernardo, F. Garofalo, and G. Chen, "Controllability of complex networks via pinning," Phys. Rev. E, vol. 75, no. 4, p. 046103, 2007.
18. M. V. L. Bennett and R. S. Zukin, "Electrical coupling and neuronal synchronization in the mammalian brain," Neuron, vol. 41, no. 4, pp. 495-511, Feb. 2004.