Pinning control of fractional-order weighted complex networks

Chaos

Volumn 19, Issue 1, 2009, Pages

  Tang, Yang ^a   Wang, Zidong ^a,b   Fang, Jian An ^a  

^a DONGHUA UNIVERSITY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; COMPUTER SIMULATION; NONLINEAR SYSTEM; STATISTICAL MODEL; SYSTEMS THEORY; THEORETICAL MODEL;

ALGORITHMS; COMPUTER SIMULATION; MODELS, STATISTICAL; MODELS, THEORETICAL; NONLINEAR DYNAMICS; SYSTEMS THEORY;

EID: 63449084428     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3068350     Document Type: Article

References (39)

1. D. J. Watts and S. H. Strogatz, Nature (London) 393, 440 (1998).
2. A. L. Barabási and R. Albert, Science 286, 509 (1999).
3. S. H. Strogatz, Nature (London) 410, 268 (2001).
4. S. Boccalettia, V. Latorab, Y. Morenod, M. Chavezf, and D. U. Hwanga, Phys. Rep. 424, 175 (2006).
5. V. Latora and M. Marchiori, Phys. Rev. Lett. 87, 198701 (2001).
6. C. Zhou, A. E. Motter, and J. Kurths, Phys. Rev. Lett. 96, 034101 (2006).
7. X. F. Wang and G. Chen, Physica A 310, 521 (2002).
8. M. Barahona and L. M. Pecora, Phys. Rev. Lett. 89, 054101 (2002).
9. R. Hilfer, Applications of Fractional Calculus in Physics (World Scientific, Singapore, 2000).
10. I. Podlubny, Fractional Differential Equations (Academic, New York, 1999).
11. S. G. Samko, A. A. Kilbas, and O. I. Marichev, Fractional Integrals and Derivatives: Theory and Applications (Gordon and Breach, Yverdon, 1993).
12. W. Deng and J. Lü, Chaos 16, 043120 (2006).
13. I. Grigorenko and E. Grigorenko, Phys. Rev. Lett. 91, 034101 (2003).
14. T. T. Hartley, C. F. Lorenzo, and H. K. Qammer, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 42, 485 (1995).
15. P. Arena, L. Fortuna, and D. Porto, Phys. Rev. E 61, 776 (2000).
16. C. Li and G. Chen, Physica A 341, 55 (2004).
17. R. O. Grigoriev, M. C. Cross, and H. G. Schuster, Phys. Rev. Lett. 79, 2795 (1997).
18. X. Li, X. F. Wang, and G. Chen, IEEE Trans. Circuits Syst., I: Regul. Pap. 51, 2074 (2004).
19. Q. Miao, Z. H. Rong, Y. Tang, and J. A. Fang, Physica A 387, 6225 (2008).
20. J. Zhou, J. Lu, and J. Lü, Automatica 44, 996 (2008).
21. C. Zhou and J. Kurths, Phys. Rev. Lett. 96, 164102 (2006).
22. L. Y. Xiang, Z. X. Liu, Z. Q. Chen, F. Chen, and Z. Z. Yuan, Physica A 379, 298 (2007).
23. F. Sorrentino, M. di Bernardo, F. Garofalo, and G. Chen, Phys. Rev. E 75, 046103 (2007).
24. T. P. Chen, X. W. Liu, and W. L. Lu, IEEE Trans. Circuits Syst., I: Regul. Pap. 54, 1317 (2007).
25. M. Chavez, D.-U. Hwang, A. Amann, H. G. E. Hentschel, and S. Boccaletti, Phys. Rev. Lett. 94, 218701 (2005).
26. W. Yu, G. Chen, and J. Lü, Automatica 45, 429 (2009).
27. L. Y. Xiang, Z. X. Liu, Z. Q. Chen, J. Control Theory Appl. 6, 2 (2008).
28. C. W. Wu and L. O. Chua, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 42, 430 (1995).
29. Y. Liu, Z. Wang, and X. Liu, Phys. Lett. A 372, 3986 (2008).
30. Y. Liu, Z. Wang, J. Liang, and X. Liu, IEEE Trans. Syst., Man, Cybern., Part B: Cybern. 38, 1314 (2008).
31. Y. Tang, R. Qiu, J. A. Fang, Q. Miao, and M. Xia, Phys. Lett. A 372, 4425 (2008).
32. Y. Tang and J. A. Fang, Phys. Lett. A 372, 1816 (2008).
33. L. Wang, H. P. Dai, H. Dong, Y. Y. Cao, and Y. X. Sun, Eur. Phys. J. B 61, 335 (2008).
34. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 80, 2109 (1998).
35. M. Caputo, Geophys. J. R. Astron. Soc. 13, 529 (1967).
36. F. Keil, W. Mackens, and J. Werther, Scientific Computing in Chemical Engineering II-Computational Fluid Dynamics, Reaction Engineering, and Molecular Properties (Springer-Verlag, Heidelberg, 1999).
37. K. Diethelm K, N. J. Ford, and A. D. Freed, Nonlinear Dyn. 29, 3 (2002).
38. D. Matignon, Stability results of fractional differential equations with applications to control processing, in: IMACS, IEEE-SMC, Lille, France, 1996.
39. J. Lü and G. Chen, Int. J. Bifurcation Chaos Appl. Sci. Eng. 12, 659 (2002).