Synchronization analysis of a complex network family

Nonlinear Analysis: Real World Applications

Volumn 11, Issue 3, 2010, Pages 1933-1945

  Huang, Chi ^a   Ho, Daniel W C ^a   Lu, Jianquan ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Complex network family; Coupling delays; Linear matrix inequalities; Synchronization stability

Indexed keywords

COMPLEX NETWORKS; COUPLING DELAYS; NETWORK STRUCTURES; NUMERICAL EXAMPLE; PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS; SYNCHRONIZATION PROBLEM; SYNCHRONIZATION STABILITY;

CIRCUIT THEORY; LYAPUNOV FUNCTIONS; SWITCHING SYSTEMS; SYNCHRONIZATION;

LINEAR MATRIX INEQUALITIES;

EID: 77950916200     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.04.016     Document Type: Article

References (29)

1. Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 (1998) 440-442
2. Barabási A.L., and Albert R. Emergence of scaling in random networks. Science 286 (1999) 509-512
3. Barahona M., and Pecora M. Synchronization in small-world systems. Phys. Rev. Lett. 89 054101 (2002)
4. Strogatz S.H. Exploring complex networks. Nature 410 (2001) 268-276
5. Wu C.W., and Chua L.O. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans. CAS-I 42 (1995) 430-447
6. Cao J., and Lu J. Adaptive synchronization of neural networks with or without time-varying delay. Chaos 16 013133 (2006)
7. Wu C.W. Synchronization in networks of nonlinear dynamical systems coupled via a directed graph. Nonlinearity 18 (2005) 1057-1064
8. Wang L., Dai H., and Sun Y. Synchronization criteria for a generalized complex delayed dynamical network model. Physica A 308 (2007) 703-713
9. Cao J., Yu W., and Qu Y. A new complex network model and convergence dynamics for reputation computation in virtual organizations. Phys. Lett. A 356 6 (2006) 414-425
10. Wang X. Complex networks: Topology, dynamics, and synchronization. Int. J. Bifurcat. Chaos 12 5 (2002) 885-916
11. Wang X., and Chen G. Synchronization in small-world dynamical networks. Int. J. Bifurcat. Chaos 12 (2002) 187-192
12. Wang X., and Chen G. Synchronization in scale-free dynamical networks: Robustness and fragility. IEEE Trans. CAS-I 49 1 (2002) 54-62
13. Lü J., and Chen G. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Automat. Control 50 6 (2005) 841-846
14. Li C., and Chen G. Synchronization in general complex dynamical networks with coupling delays. Physica A 343 (2004) 263-278
15. Lu J., and Ho D.W.C. Local and global synchronization in general complex dynamical networks with delay coupling. Chaos Solitons Fractals 37 (2008) 1497-1510
16. Lu J., and Cao J. Adaptive synchronization in tree-like dynamical networks. Nonlinear Anal. RWA 8 4 (2007) 1252-1260
17. Lu W., and Chen T. New approach to synchronization analysis of linearly coupled ordinary differential systems. Physica D 213 (2006) 214-230
18. Chen G., Zhou J., and Liu Z. Synchronization of coupled delayed neural networks and application to chaotic CNN models. Int. J. Bifurcat. Chaos 14 7 (2004) 2229-2240
19. Wang Y., Wang Z., and Liang J. A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances. Phys. Lett. A 372 (2008) 6066-6073
20. Liang J., Wang Z., and Liu X. Exponential synchronization of stochastic delayed discrete-time complex networks. Nonlinear Dynam. 53 (2008) 153-165
21. Li K., and Lai C.H. Adaptive impulsive synchronization of uncertain complex dynamical networks. Phys. Lett. A 372 (2008) 1601-1606
22. Liang J., Wang Z., Liu Y., and Liu X. Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances. IEEE Trans. Syst. Man Cybern. B 38 4 (2008) 1073-1083
23. Liang J., Wang Z., Liu Y., and Liu X. Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans. Neural Netw. 19 11 (2008) 1910-1921
24. Gao H., James L., and Chen G. New criteria for synchronization stability of general complex dynamical networks with coupling delays. Phys. Lett. A 360 (2006) 263-273
25. Liu Y., Wang Z., and Liu X. Exponential synchronization of complex networks with Markovian jump and mixed delays. Phys. Lett. A 372 26 (2008) 3986-3998
26. Liu Y., Wang Z., and Liang J. Synchronization and state estimation for discrete-time complex networks with distributed delays. IEEE Trans. Syst. Man Cybern. B, Cybern. 38 5 (2008) 1314-1325
27. Cao J., and Li L. Cluster synchronization in an array of hybrid coupled neural networks with delay. Neural Netw. (2009) 10.1016/j.neunet.2009.03.006
28. Hu M., Xu Z., and Yang Y. Projective cluster synchronization in drive-response dynamical networks. Physica A 387 14 (2008) 3759-3768
29. Boyd S., Ghaoui L.E., Feron E., and Balakrishnan V. Linear Matrix Inequalities in System and Control Theory (1994), SIAM, Philadelphia