Global synchronization in arrays of coupled networks with one single time-varying delay coupling

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 373, Issue 31, 2009, Pages 2682-2694

  He, Wangli ^a   Cao, Jinde ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

Complex networks; Global synchronization; Lyapunov functional; One single delay

Indexed keywords

COMPLEX NETWORKS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; SYNCHRONIZATION; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

COUPLED NETWORKS; DELAY COUPLING; DELAYED COUPLINGS; GLOBAL SYNCHRONIZATION; LYAPUNOV FUNCTIONALS; ONE SINGLE DELAY; TIME VARYING- DELAYS; TIME-VARYING COUPLING DELAYS;

TIME VARYING NETWORKS;

EID: 67649873122     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.05.041     Document Type: Article

References (34)

1. Strogatz S.H. Nature 410 (2001) 268
2. Newman M. SIAM Rev. 45 (2003) 167
3. Pikovsky A., Rosenblum M., and Kurth J. Synchronization: A Universal Concept in Nonlinear Dynamics (2001), Cambridge University Press, Cambridge
4. He W., and Cao J. Chaos 19 (2009) 013118
5. He W., and Cao J. Nonlinear Dyn. 55 (2009) 55
6. He W., and Cao J. Phys. Lett. A 372 (2008) 408
7. Lü J., Yu X., Chen G., and Cheng D. IEEE Trans. Circuits Syst. I 51 (2004) 787
8. Wang X.F., and Chen G. IEEE Trans. Circuits Syst. I 49 (2002) 54
9. Wang X.F., and Chen G. Int. J. Bifur. Chaos 12 (2002) 187
10. Pecora L.M., and Carroll T.L. Phys. Rev. Lett. 80 (1998) 2109
11. Jost J., and Joy M.P. Phys. Rev. E 65 (2001) 016201
12. Wu C.W., and Chua L.O. IEEE Trans. Circuits Syst. I 42 (1995) 430
13. Li Z., and Chen G. IEEE Trans. Circuits Syst. II 53 (2006) 28
14. Lü J., and Chen G. IEEE Trans. Automat. Control 50 (2005) 841
15. Chen M. IEEE Trans. Circuits Syst. I 55 (2008) 1335
16. Wu W., and Chen T. IEEE Trans. Neural Netw. 19 (2008) 319
17. Li C., and Chen G. Physica A 343 (2004) 263
18. Zhou J., and Chen T. IEEE Trans. Circuits Syst. I 53 (2006) 733
19. Gao H., Lam J., and Chen G. Phys. Lett. A 360 (2006) 263
20. Li K., Guan S., Gong X., and Lai C. Phys. Lett. A 372 (2008) 7133
21. Lu W., and Chen T. IEEE Trans. Circuits Syst. I 51 (2004) 2491
22. Chen G., Zhou J., and Liu Z. Int. J. Bifur. Chaos 14 (2004) 2229
23. Wang W., and Cao J. Physica A 366 (2006) 197
24. Cao J., Li P., and Wang W. Phys. Lett. A 353 (2006) 318
25. Yu W., Cao J., and Lü J. SIAM J. Appl. Dyn. Syst. 7 (2008) 108
26. Cao J., Chen G., and Li P. IEEE Trans. Syst. Man Cybern. 38 (2008) 488
27. Moreau L. Stability of continuous-time distributed consensus algorithms. 43rd IEEE Conference on Decision and Control (2004), IEEE, Piscataway, NJ 14-17
28. Atay F.M., and Jost J. Phys. Rev. Lett. 92 (2004) 144101
29. Lu W., Chen T., and Chen G. Physica D 221 (2006) 118
30. Oguchi T., Nijmeijer H., and Yamamoto T. Chaos 18 (2008) 037108
31. Li C.H., and Yang S.Y. Int. J. Bifur. Chaos 18 (2008) 2039
32. Gu K.Q., Kharitonov V.L., and Chen J. Stability of Time-Delay Systems (2003), Birkhäuser Boston, Boston, MA
33. Chua L.O. Arch. Elektron. Ubertragung 46 (1992) 250
34. Gilli M. IEEE Trans. Circuits Syst. I 40 (1993) 166