Stochastic synchronization of complex networks with mixed impulses

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 60, Issue 10, 2013, Pages 2657-2667

  Wong, W K ^a   Zhang, Wenbing ^b   Tang, Yang ^c,d   Wu, Xiaotai ^e  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b YANGZHOU UNIVERSITY   (China)

^c HUMBOLDT UNIVERSITY   (Germany)

^d POTSDAM INSTITUTE FOR CLIMATE IMPACT RESEARCH   (Germany)

^e ANHUI POLYTECHNIC UNIVERSITY   (China)

Author keywords

Average impulsive interval; complex networks; delayed coupling; desynchronizing impulses; synchronizing impulses

Indexed keywords

STOCHASTIC SYSTEMS; SYNCHRONIZATION;

COMPARISON PRINCIPLE; COUPLING STRUCTURES; DELAYED COUPLINGS; DESYNCHRONIZING IMPULSES; IMPULSIVE INTERVALS; STOCHASTIC SYNCHRONIZATION; SYNCHRONIZING IMPULSES; TRANSMISSION DELAYS;

COMPLEX NETWORKS;

EID: 84884900555     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2013.2244330     Document Type: Article

References (47)

1. S. H. Strogatz, "Exploring complex networks," Nature, vol. 410, pp. 268-276, 2001. (Pubitemid 32216604)
2. M. E. J. Newman, "The structure and function of complex networks," SIAM Rev., vol. 45, pp. 167-256, 2003.
3. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Dynamics. Cambridge, U.K.: Cambridge Univ. Press, 2001.
4. Y. Tang, H. Gao, W. Zou, and J. Kurths, "Distributed synchronization in networks of agent systems with nonlinearities and random switchings," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. vol. 43, no. 1, pp. 358-370, Feb. 2013.
5. Y. Tang, H. Gao, J. Kurths, and J. Fang, "Evolutionary pinning control and its application in UAV coordination," IEEE Trans. Ind. Inform., vol. 4, no. 8, pp. 828-838, Nov. 2012.
6. Y. Liu, Z.Wang, J. Liang, and X. Liu, "Stability and synchronization of discrete-time Markovian jumping neural networks with mixed modedependent time delays," IEEE Trans. Neural Netw., vol. 20, no. 7, pp. 1102-1116, Jul. 2009.
7. J. Zhou and T. Chen, "Synchronization in general complex delayed dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 3, pp. 733-744, Mar. 2006.
8. J. Chen, J. Lu, and X. Wu, "Generalized synchronization of complex dynamical networks via impulsive control," Chaos, vol. 19, no. 4, p. 043119, 2009.
9. Y.Wang, Y. Fan, Q.Wang, and Y. Zhang, "Stabilization and synchronization of complex dynamical networks with different dynamics of nodes via decentralized controllers," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 59, no. 8, pp. 1786-1795, Aug. 2012.
10. Y. Tang and W. K. Wong, "Distributed synchronization of coupled neural networks via randomly occurring control," IEEE Trans. Neural Netw. Learn. Syst., vol. 24, no. 2, pp. 435-447, Feb. 2013.
11. M. Chen, "Chaos synchronization in complex networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 5, pp. 1335-1346, Jun. 2008.
12. Z. Li and G. Chen, "Global synchronization and asymptotic stability of complex dynamical networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 53, no. 1, pp. 28-33, Jan. 2006. (Pubitemid 46511147)
13. Z. Fei, H. Gao, and W. 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.
14. I. Fischer, Y. Liu, and P. Davis, "Synchronization of chaotic semiconductor laser dynamics on subnanosecond time scales and its potential for chaos communication," Phys. Rev. A, vol. 62, no. 1, p. 011801, 2000.
15. C. Hu, H. Jiang, and Z. Teng, "Impulsive control and synchronization for delayed neural networks with reaction-diffusion terms," IEEE Trans. Neural Netw., vol. 20, no. 1, pp. 67-81, Jan. 2010.
16. S. Cai, J. Zhou, L. Xiang, and Z. R. Liu, "Robust impulsive synchronization of complex delayed dynamical networks," Phys. Lett. A, vol. 372, no. 30, pp. 4990-4995, 2008.
17. W. He and J. Cao, "Exponential synchronization of hybrid coupled networks with delayed coupling," IEEE Trans. Neural Netw., vol. 21, no. 4, pp. 571-583, Apr. 2010.
18. W. Lu and T. Chen, "Synchronization of coupled connected neural networks with delays," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 12, pp. 2491-2503, Dec. 2004. (Pubitemid 40009470)
19. C. W. Wu, "Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 5, pp. 282-286, May 2005. (Pubitemid 40794930)
20. J. Cao, G. Chen, and P. Li, "Global synchronization in an array of delayed neural networks with hybrid coupling," IEEE Trans. Syst. Man Cybern. B, Cybern., vol. 38, no. 2, pp. 488-498, Apr. 2008. (Pubitemid 351479567)
21. T. Oguchi, H. Nijmeijer, and T. Yamamoto, "Synchronization in networks of chaotic system with time-delay coupling," Chaos, vol. 18, no. 3, p. 037108, 2008.
22. L. Moreau, "Stability of continuous-time distributed consensus algorithms," in Proc. 43rd IEEE Conf. Decision Control, Dec. 2004, pp. 14-17.
23. W. Zhang, Y. Tang, J. Fang, andW. Zhu, "Exponential cluster synchronization of impulsive delayed genetic oscillators with external disturbances," Chaos, vol. 21, no. 4, p. 043137, 2011.
24. U. Münz, A. Papachristodoulou, and F. Allgöwer, "Delay robustness in consensus problems," Automatica, vol. 46, no. 8, pp. 1252-1265, 2010.
25. X. Yang and J. Cao, "Stochstic synchronization of coupled neural networks with intermittent control," Phys. Lett. A, vol. 373, pp. 3259-3272, 2009.
26. X. Yang, J. Cao, and J. Lu, "Stochastic synchronization of complex networks with nonidentical nodes via hybrid adaptive and impulsive control," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 59, no. 2, pp. 371-384, Feb. 2012.
27. Y. Tang, S. Y. S. Leung, W. K. Wong, and J. Fang, "Impulsive pinning synchronization of stochastic discrete-time networks," Neurocomputing, vol. 73, no. 10-12, pp. 2132-2139, 2010.
28. Z. Wang, Y. Wang, and Y. Liu, "Global synchronization for discretetime stochastic complex networks with randomly occurred nonlinearities and mixed time delays," IEEE Trans. Neural Netw., vol. 21, no. 1, pp. 11-25, Jan. 2010.
29. J. Lu, D. W. C. Ho, J. Cao, and J. Kurths, "Exponential synchronization of linearly coupled neural networks with impulsive disturbances," IEEE Trans. Neural Netw., vol. 22, no. 2, pp. 169-175, Feb. 2011.
30. Z. Yang and D. Xu, "Stability analysis of delay neural networks with impulsive effects," IEEE Trans. Circuits Syst. II, vol. 52, no. 8, pp. 517-521, Aug. 2005. (Pubitemid 44356527)
31. B. Liu, X. Liu, G. Chen, and H. Wang, "Robust impulsive synchronization of uncertain dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 52, no. 7, pp. 1431-1441, Jul. 2005. (Pubitemid 41081627)
32. C. Li, S. Wu, G. Feng, and X. Liao, "Stabilizing effects of impules in discrete-time delayed neural networks," IEEE Trans. Neural Netw., vol. 22, no. 2, pp. 323-329, Feb. 2011.
33. G. Zhang, Z. Liu, and Z. Ma, "Synchronization of complex dynamical networks via impulsive control," Chaos, vol. 17, no. 4, p. 043126, 2007.
34. Z. Guan, Z. Liu, G. Feng, and Y. Wang, "Synchronization of complex dynamical networkswith time-varying delays via impulsive distributed control," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 8, pp. 2182-2195, Aug. 2010.
35. J. Lu, D. W. C. Ho, and J. Cao, "A unified synchronization criterion for impulsive dynamical networks," Automatica, vol. 46, no. 7, pp. 1215-1221, 2010.
36. Z. Yang and D. Xu, "Stability analysis and design of impulsive control systems with time delay," IEEE Trans. Autom. Control, vol. 52, no. 8, pp. 1448-1454, Aug. 2007. (Pubitemid 47316692)
37. Z. Q. Zhu and H. P. Hu, "Robust synchronization by time-varying impulsive control," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 57, no. 9, pp. 735-739, Sept. 2006.
38. W. Zhang, Y. Tang, J. Fang, and X. Wu, "Stability of delayed neural networks with time-varying impulses," Neural Netw., vol. 36, pp. 59-63, 2012.
39. D. Xu and S. Long, "Attracting and quasi-invariant sets of non-autonomous neural networks with delays," Neurocomputing, vol. 77, no. 1, pp. 222-228, 2012.
40. D. Xu and Z. Yang, "Impulsive delay differential inequality and stability of neural networks," J. Math. Anal. Appl., vol. 305, no. 1, pp. 107-120, 2005. (Pubitemid 40350371)
41. R. Horn and C. Johnson, Martix Analysis. New York: Springer-Verlag, 2001.
42. Y. Wang, L. Xie, and C. Souza, "Robust control of a class of uncertain nonlinear systems," Syst. Control Lett., vol. 19, no. 2, pp. 139-149, 1992. (Pubitemid 23572546)
43. L. Arnold, Stochastic Differential Equations-Theory and Applications. New York: Wiley, 1974.
44. X. Wu, L. Yan, W. Zhang, and Y. Tang, "Stability of stochastic nonlinear switched systems with average dwell time," J. Phys. A: Math. Theor, vol. 45, no. 8, p. 085207, 2012.
45. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of Impulsive Differential Equations. Singapore:World Scientific, 1989.
46. X. Yang, J. Cao, and J. Lu, "Synchronization of delayed complex dynamical networks with impulsive and stochastic effects," Nonlin. Anal.: Real World Applic., vol. 12, no. 4, pp. 2252-2266, 2012.
47. Y. Tang, W. Zou, J. Lu, and J. Kurths, "Stochastic resonance in an ensemble of bistable systems under stable distribution noises and heterogeneous coupling," Phys. Rev. E, vol. 85, no. 4, p. 046207, 2012.