Synchronization between two complex dynamical networks using scalar signals under pinning control

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 57, Issue 11, 2010, Pages 2991-2998

  Fan, Chun Xia ^a   Jiang, Guo Ping ^a   Jiang, Feng Hua ^a  

^a NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Complex dynamical networks; outer synchronization; pinning control; scalar signals

Indexed keywords

LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; SYNCHRONIZATION;

COMPLEX DYNAMICAL NETWORKS; NETWORK CONFIGURATION; NETWORK TOPOLOGY; NUMERICAL SIMULATION METHOD; OUTER SYNCHRONIZATIONS; PINNING CONTROL; SCALAR SIGNAL; SYNCHRONIZATION SCHEME;

COMPLEX NETWORKS;

EID: 78149469035     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2010.2048774     Document Type: Article

References (32)

1. D. J. Watts, and S. H. Strogatz, "Collective dynamics of 'small-world' networks", Nature, vol. 393, no. 6684, pp. 440-442, Jun. 1998.
2. G. P. Jiang, W. K. Tang, and G. Chen, "A state-observer-based approach for synchronization in complex dynamical networks", IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 12, pp. 2739-2745, Dec. 2006.
3. Z. Fei, H. Gao, and W. X. Zheng, "New synchronization stability of complex networks with an interval time-varying coupling delay", IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 56, no. 6, pp. 499-503, Jun. 2009.
4. W. H. Chen and W. X. Zheng, "Global exponential stability of impulsive neural networks with variable delay: An LMI approach", IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 56, no. 6, pp. 1248-1259, Jun. 2009.
5. D. J. Hill and J. Zhao, "Global synchronization of complex dynamical networks with non-identical nodes", in Proc. 47th IEEE Conf. Decision Control, Cancun, Mexico, 2008, pp. 817-822.
6. X. Li and G. Chen, "Synchronization and desynchronization of complex dynamical networks: An engineering viewpoint", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl, vol. 50, no. 11, pp. 1381-1390, Nov. 2003.
7. B. Hao, H. Yu, Y. Jing, and S. Zhang, "On synchronizability and heterogeneity in unweighted networks", Phys. A, vol. 388, no. 9, pp. 1939-1945, May 2009.
8. ∞ synchronization and unknown input recovery", IEEE Trans. Circuits Syst. I Reg. Paper, vol. 56, no. 8, pp. 1720-1731, Aug. 2009.
9. A. Pogromsky and H. Nijmeijer, "Cooperative oscillatory behavior of mutually coupled dynamical systems", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 48, no. 2, pp. 152-162, Feb. 2001.
10. K. Wang, Z. Teng, and H. Jiang, "Adaptive synchronization of neural networks with time-varying delay and distributed delay", Phys. A, vol. 387, no. 2/3, pp. 631-642, Jan. 2008.
11. C. W. Wu, Synchronization in Coupled Circuits and Systems., Singapore: World Scientific, 2002.
12. M. Barahona and L. M. Pecora, "Synchronization in small-world systems", Phys. Rev. Lett., vol. 89, no. 5, p. 054 101, Jul. 2002.
13. E. Almaas, R. V. Kulkarni, and D. Stoud, "Characterizing the structure of small-world networks", Phys. Rev. Lett., vol. 88, no. 9, p. 098 101, Mar. 2002.
14. X. F. Wang, "Complex networks: Topology, dynamics and synchronization", Int. J. Bifur. Chaos, vol. 12, no. 5, pp. 885-916, May 2002.
15. J. Fan and X. F. Wang, "On synchronization in scale-free dynamical networks", Phys. A, vol. 349, no. 3/4, pp. 443-451, Apr. 2005.
16. X. F. Wang and G. Chen, "Synchronization in scale-free dynamical networks: Robustness and fragility", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 49, no. 1, pp. 54-62, Jan. 2002.
17. H. Tang, L. Chen, J. Lu, and C. K. Tse, "Adaptive synchronization between two complex networks with nonidentical topological structures", Phys. A, vol. 387, no. 22, pp. 5623-5630, Sep. 2008.
18. C. Li, W. Sun, and J. Kurths, "Synchronization between two coupled complex networks", Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 76, no. 4, p. 046204, Oct. 2007.
19. J. Zhou, J. Lu, and J. Lü, "Adaptive synchronization of an uncertain complex dynamical networks", IEEE Trans. Autom. Control, vol. 51, no. 4, pp. 652-656, Apr. 2006.
20. 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.
21. 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.
22. M. E. J. Newman and D. J. Watts, "Renormalization group analysis of the small-world network model", Phys. Lett. A, vol. 263, no. 4-6, pp. 341-346, Dec. 1999.
23. T. L. Liao and N.-S. Huang, "An observer-based approach for chaotic synchronization with application to secure communications", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl, vol. 46, no. 9, pp. 1144-1150, Sep. 1999.
24. J. Alvarez-Ramirez, H. Puebla, and I. Cervantes, "Stability of observerbased chaotic communications for a class of Lur'e systems", Int. J. Bifur. Chaos, vol. 12, no. 7, pp. 1605-1618, Jul. 2002.
25. T. Ushio, "Synthesis of synchronized chaotic systems based on observers", Int. J. Bifur. Chaos, vol. 9, no. 3, pp. 541-546, Mar. 1999.
26. G. Grassi and S. Mascolo, "Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal", IEEE Trans. Circuits Syst. I, Fundam. Theory Appl, vol. 44, no. 10, pp. 1011-1014, Oct. 1997.
27. X. Li, X. F. Wang, and G. Chen, "Pinning a complex network to its equilibrium", IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 10, pp. 2074-2087, Oct. 2004.
28. X. F. Wang and G. Chen, "Pinning control of scale-free dynamical networks", Phys. A, vol. 310, no. 3/4, pp. 521-531, Jul. 2002.
29. L. Huang, Linear Algebra in Systems and Control Theory. Beijing, China: Science Press, 1984, pp. 211-214.
30. E. N. Lorenz, "Deterministic non-periodic flow", J. Atmos. Sci., vol. 20, no. 2, pp. 130-141, Mar. 1963.
31. G. Chen and T. Ueta, "Yet another chaotic attractor", Int. J. Bifur. Chaos, vol. 9, no. 7, pp. 1465-1466, Jul. 1999.
32. J. Lü and G. Chen, "A new chaotic attractor coined", Int. J. Bifur. Chaos, vol. 12, no. 3, pp. 659-661, Mar. 2002.