Control-oriented approaches to anticipating synchronization of chaotic deterministic ratchets

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

Volumn 373, Issue 26, 2009, Pages 2226-2236

  Xu, Shiyun ^a   Yang, Ying ^a   Song, Lei ^a  

^a Peking University   (China)

Author keywords

Anticipating synchronization; Deterministic ratchets; Global asymptotical stability; LMI

Indexed keywords

PHASE SPACE METHODS;

ANTICIPATING SYNCHRONIZATION; DETERMINISTIC RATCHETS; DIRECTED TRANSPORT; FINITE VELOCITY; GLOBAL ASYMPTOTICAL STABILITY; PHASE-SPACE DYNAMICS; RATCHET POTENTIAL;

SYNCHRONIZATION;

EID: 65649101962     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2009.03.028     Document Type: Article

References (41)

1. Boccaletti S., Kurths J., Osipov G., Valladares D.L., and Zhou C.S. Phys. Rep. 366 (2002) 1
2. Wu C.W. Synchronization in Coupled Chaotic Circuits and Systems (2002), World Scientific, Singapore
3. Pecora L.M., and Carroll T.L. Phys. Rev. Lett. 64 (1990) 821
4. Chen G., and Dong X. From Chaos to Order: Methodologies, Perspectives and Applications (1998), World Scientific, Singapore
5. Chen G., and Dong X. In: Schuster H.G. (Ed). Handbook of Chaos Control (1999), Wiley-VCH, Weinheim
6. Voss H.U. Phys. Rev. E 61 (2000) 5115
7. Masoller C. Phys. Rev. Lett. 86 (2001) 2782
8. Hernández-Garcá E., Masoller C., and Mirasso C.R. Phys. Lett. A 295 (2002) 39
9. Ciszak M., Calvo O., Masoller C., Mirasso C., and Toral R. Phys. Rev. Lett. 90 (2003) 204102
10. Toral R., Masoller C., Mirasso C.R., Ciszak M., and Calvo O. Physica A 325 (2003) 192
11. Voss H.U. Int. J. Bifur. Chaos Appl. Sci. Eng. 12 (2002) 1619
12. Sivaprakasam S., Shahverdiev E.M., Spencer P.S., and Shore K.A. Phys. Rev. Lett. 87 (2001) 154101
13. Hänggi P., and Bartussek R. In: Parisi J., and Muller S.C. (Eds). Nonlinear Physics of Complex Systems. Lecture Notes in Physics vol. 476 (1996), Springer-Verlag, Berlin 294-308
14. Astumian R.D. Science 276 (1997) 917
15. Reimann P. Phys. Rep. 361 (2002) 57
16. Jung P., Kissner J.G., and Hänggi P. Phys. Rev. Lett. 76 (1996) 3436
17. Mateos J.L. Phys. Rev. Lett. 84 (2000) 258
18. Barbi M., and Salermo M. Phys. Rev. E 63 (2001) 066212
19. Borromeo M., et al. Phys. Rev. E 65 (2002) 041110
20. Mateos J.L. Physica A 325 (2003) 92
21. Hänggi P., et al. Ann. Phys. 14 (2005) 51
22. Savel'ev S., Marchesoni F., and Nori F. Phys. Rev. Lett. 91 (2003) 010601
23. Vincent U.E., and Laoye J.A. Phys. Lett. A 363 (2007) 91
24. Lu P.L., Yang Y., and Huang L. Phys. Lett. A 372 (2008) 3978
25. Nimeijer H., and Mareels Ivan M.Y. IEEE Trans. Circuits Syst. I 44 (1997) 882
26. Kostur M., Hänggi P., Talkner P., and Mateos J.L. Phys. Rev. E 72 (2005) 036210
27. Borromeo M., et al. Phys. Rev. E 74 (2006) 031121
28. Borromeo M., et al. Phys. Rev. E 75 (2007) 041106
29. Leonov G.A., Burkin I.M., and Shepeljavyi A.I. Frequency Methods in Oscillation Theory (1992), Kluwer Academic Publishers, Dordrecht
30. Leonov G.A., Ponomarenko D.V., and Smirnova V.B. Frequency-Domain Methods for Nonlinear Analysis (1996), World Scientific, Singapore
31. Duan Z.S., Wang J.Z., and Huang L. Automatica 43 (2007) 1583
32. Yang Y., Fu R., and Huang L. Syst. Control Lett. 53 (2004) 89
33. Wang J.Z., Duan Z.S., and Huang L. Syst. Control Lett. 56 (2007) 167
34. Vicsek T., Czirok A., Ben-Jacob E., Cohen I., and Shochet O. Phys. Rev. Lett. 75 6 (1995) 1226
35. Fax J.A., and Murray R.M. IEEE Trans. Automat. Control 49 9 (2004) 1465
36. Saber R.O. IEEE Trans. Automat. Control 51 (2006) 401
37. Rantzer A. Syst. Control Lett. 28 (1996) 7
38. Balakrishnan V., and Vandenberghe L. IEEE Trans. Automat. Control 48 (2003) 30
39. Boyd S., ElGhaoui L., Feron E., and Balakrishnam V. Linear Matrix Inequalities in Systems and Control (1994), SIAM, Philadelphia
40. Marchesoni F. Phys. Lett. A 231 (1997) 61
41. Borromeo M., Costantini G., and Marchesoni F. Phys. Rev. Lett. 82 (1999) 2820