Synchronization of delayed complex dynamical networks with impulsive and stochastic effects

Nonlinear Analysis: Real World Applications

Volumn 12, Issue 4, 2011, Pages 2252-2266

  Yang, Xinsong ^a   Cao, Jinde ^b   Lu, Jianquan ^b,c  

^a HONGHE UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

^c POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

Author keywords

Average impulsive interval; Elasticity number; Impulsive complex dynamical networks; Stochastic perturbation; Synchronization; Time varying delay

Indexed keywords

ELASTICITY NUMBER; IMPULSIVE COMPLEX DYNAMICAL NETWORKS; IMPULSIVE INTERVALS; STOCHASTIC PERTURBATIONS; TIME-VARYING DELAY;

COMPUTER SIMULATION; ELASTICITY; STOCHASTIC SYSTEMS; SYNCHRONIZATION; TIME VARYING CONTROL SYSTEMS;

TIME VARYING NETWORKS;

EID: 79955522542     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2011.01.007     Document Type: Article

References (33)

1. A.L. Barabsi, H. Jeong, Z. Nda, E. Ravasz, A. Schubert, and T. Vicsek Evolution of the social network of scientific collaborations Physica A 311 2002 590 614 (Pubitemid 34782622)
2. B.A. Huberman, and L.A. Adamic Growth dynamics of the world-wide-web Nature 401 1999 131 132
3. R. Pastor-Satorras, and A. Vespignani Epidemic spreading in scale-free networks Physical Review Letters 86 2001 3200 3203 (Pubitemid 32317894)
4. F. Wang, and Y. Sun Self-organizing peer-to-peer social networks Computational Intelligence 24 3 2008 213 233
5. Q. Xie, G. Chen, and E. Bollt Hybrid chaos synchronization and its application in information processing Mathematical and Computer Modelling 35 12 2002 145 163 (Pubitemid 34088610)
6. W. Yu, J. Cao, G. Chen, J. L, H. Jian, and W. Wei Local synchronization of a complex network model IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics) 39 1 2009 230 241
7. Y. Sun, J. Cao, and Z. Wang Exponential synchronization of stochastic perturbed chaotic delayed neural networks Neurocomputing 70 1315 2007 2477 2485 (Pubitemid 46825362)
8. X. Yang, and J. Cao Stochastic synchronization of coupled neural networks with intermittent control Physics Letters A 373 2009 3259 3272
9. X. Yang, and J. Cao Finite-time stochastic synchronization of complex networks Applied Mathematical Modelling 34 2010 3631 3641
10. W. Yu, G. Chen, and J. Cao Adaptive synchronization of uncertain coupled stochastic complex networks Asian Journal of Control 13 3 2011 1 12
11. J.Q. Lu, D.W.C. Ho, and Z.D. Wang Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers IEEE Transactions on Neural Networks 20 10 2009 1617 1629
12. J.Q. Lu, D.W.C. Ho, and L.G. Wu Exponential stabilization in switched stochastic dynamical networks Nonlinearity 22 2009 889 911
13. J. Liang, Z.D. Wang, Y. Liu, and X. Liu Global synchronization control of general delayed discrete-time networks with stochastic coupling and disturbances IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics) 38 4 2008 1073 1083
14. Z.D. Wang, Y. Wang, and Y. Liu Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time delays IEEE Transactions on Neural Networks 21 1 2010 11 25
15. X. Li Existence and global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects Neurocomputing 73 2010 749 758
16. H. Jiang, and Q. Bi Impulsive synchronization of networked nonlinear dynamical systems Physics Letters A 374 27 2010 2723 2729
17. Z. Guan, Z. Liu, G. Feng, and Y. Wang Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 8 57 2010 2182 2195
18. Y. Yang, and J. Cao Exponential synchronization of the complex dynamical networks with a coupling delay and impulsive effects Nonlinear Analysis: Real World Applications 11 2010 1650 1659
19. J. Zhou, L. Xiang, and Z. Liu Synchronization in complex dynamical networks with impulsive effects Physica A 384 2 2007 684 692 (Pubitemid 47285626)
20. B. Liu, K.L. Teo, and X. Liu Robust exponential stabilization for large-scale uncertain impulsive systems with coupling time-delays Nonlinear Analysis 68 2008 1169 1183
21. P. Li, J. Cao, and Z.D. Wang Robust impulsive synchronization of coupled delayed neural networks with uncertainties Physica A 373 2007 261 272 (Pubitemid 44647697)
22. M. Yang, Y. Wang, J. Xiao, and H. Wang Robust synchronization of impulsive-coupled complex switched networks with parameteric uncertainties and time-varying delays Nonlinear Analysis: Real World Applications 11 4 2010 3008 3020
23. G. Zhang, Z. Liu, and Z. Ma Synchronization of complex dynamical networks via impulsive control Chaos 17 2007 043126
24. Q. Song, and Z.D. Wang Stability analysis of impulsive stochastic CohenGrossberg neural networks with mixed time delays Physica A 387 2008 3314 3326
25. H. Wu, and J. Sun p-moment stability of stochastic differential equations with impulsive jump and Markovian switching Automatica 42 2006 1753 1759 (Pubitemid 44277965)
26. X. Wang Exponential p-stability of impulsive stochastic CohenGrossberg neural networks with mixed delays Mathematics and Computers in Simulation 79 2009 1698 1710
27. Y. Tang, Y.S.S. Leung, W.K. Wong, and J. Fang Impulsive pinning synchronization of stochastic discrete-time networks Neurocomputing 73 2010 2132 2139
28. J.Q. Lu, D.W.C. Ho, and J. Cao A unified synchronization criterion for impulsive dynamical networks Automatica 46 7 2010 1215 1221
29. D.J. Watts, and S.H. Strogatz Collective dynamics of "small- world" networks Nature 393 1998 440 442
30. R. Horn, and C. Johnson Matrix Analysis 2001 Springer-Verlag Press New York
31. C.W. Wu, and L.O. Chua Synchronization in an array of linearly coupled dynamical networks IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 42 8 1995 430 447
32. Y. Wang, L. Xie, and C. Souza Robust control of a class of uncertain nonlinear systems Systems and Control Letters 19 1992 139 149 (Pubitemid 23572546)
33. Z. Yang, and D. Xu Stability analysis and design of impulsive control systems with time delay IEEE Transactions on Automatic Control 52 8 2007 1448 1454 (Pubitemid 47316692)