Synchronization stability for discrete-time stochastic complex networks with probabilistic interval time-varying delays

International Journal of Innovative Computing, Information and Control

Volumn 7, Issue 2, 2011, Pages 697-708

  Li, Hongjie ^a  

^a JIAXING UNIVERSITY   (China)

Author keywords

Linear matrix inequalities (LMIs); Probability distribution; Stochastic complex networks; Synchronization stability; Time varying delay

Indexed keywords

COMPLEX DYNAMICAL NETWORKS; COMPLEX NETWORKS; DELAY-DEPENDENT; DISCRETE-TIME; INTERVAL TIME-VARYING DELAYS; NETWORK COUPLING; NUMERICAL EXAMPLE; PARAMETER MATRICES; STOCHASTIC COMPLEX NETWORKS; SUFFICIENT CONDITIONS; SYNCHRONIZATION STABILITY; SYSTEM MODELS; TIME-VARYING DELAY;

DYNAMICAL SYSTEMS; LINEAR MATRIX INEQUALITIES; NUMERICAL METHODS; STABILITY; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; SYNCHRONIZATION; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

PROBABILITY DISTRIBUTIONS;

EID: 79251469038     PISSN: 13494198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. P. Shi, Limited Hamilton-Jacobi-Isaacs equations for singularly perturbed zero-sum dynamic (discrete time) games, SIAM J. Control and Optimization, vol. 41, no. 3, pp. 826-850, 2002.
2. R. Albert and A. Barabási, Statistical mechanics of complex networks, Reviews of Modern Physics, vol. 74, no. 1, pp. 47-97, 2002.
3. S. H. Strogatz, Exploring complex networks, Nature, vol. 410, pp. 268-276, 2001.
4. D. Waits and S. Strogatz, Collective dynamics of 'small-world' networks, Nature, vol. 393, no. 6684, pp. 440-442, 1998.
5. X. Wang and G. Chen, Complex networks: Small-world, scale-free and beyond, Circuits and Systems Magazine, IEEE, vol. 3, no. 1, pp. 6-20, 2003.
6. H. Gao, J. Lam and G. Chen, New criteria for synchronization stability of general complex dynamical networks with coupling delays, Physics Letters A, vol. 360, no. 2, pp. 263-273, 2006.
7. C. Li, W. Sun and J. Kurths, Synchronization of complex dynamical networks with time delays, Physica A: Statistical Mechanics and Its Applications, vol. 361, no. 1, pp. 24-34, 2006. (Pubitemid 41627540)
8. K. Kemih, M. Benslama, S. Filali, W.-Y. Liu and H. Baudrand, Synchronization of Chen system based on passivity technique for CDMA underwater communication, International Journal of Innovative Computing, Information and Control, vol. 3, no. 5, pp. 1301-1308, 2007.
9. L. Wang, Q. Wang, Y. Jing and Z. Kong, Local and global exponential synchronization in uncertain complex dynamical networks, International Journal of Innovative Computing, Information and Control, vol. 6, no. 2, pp. 701-710, 2010.
10. W.-S. Juang, C.-L. Lei, H.-T. Liaw and W.-K. Nien, Robust and efficient three-party user authentication and key agreement using bilinear pairings, International Journal of Innovative Computing, Information and Control, vol. 6, no. 2, pp. 763-772, 2010.
11. X. Liu and T. Chen, Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling, Physica A: Statistical Mechanics and Its Applications, vol. 381, pp. 82-92, 2007.
12. Y. Wang, Z. Wang and J. Liang, A delay fractioning approach to global synchronization of delayed complex networks with stochastic disturbances, Physics Letters A, 2008.
13. Y. Wang and Z. Wang, Global synchronization for delayed complex networks with randomly occurring nonlinearities and multiple stochastic disturbances, Journal of Physics A: Mathematical and Theoretical, vol. 42, no. 13, 2009.
14. Y. Dai, Y. Cai and X. Xu, Synchronization analysis and impulsive control of complex networks with coupling delays, IET Control Theory Appl, vol. 3, no. 9, pp. 1167-1174, 2009.
15. H. Du, Q. Zeng and C. Wang, A general method for function projective synchronization, International Journal of Innovative Computing, Information and Control, vol. 5, no. 8, pp. 2239-2248, 2009.
16. Y. Ma, J. Zhao, B. Yang and X. Zhong, The chaos exponential lag synchronization for a new three-dimension chaotic system, International Journal of Innovative Computing, Information and Control, vol. 5, no. 8, pp. 2219-2228, 2009.
17. Z. Yang, Q. Zhang, Z. Chen and Z. Jiang, Synchronization of delayed complex dynamical networks using active control, ICIC Express Letters, vol. 3, no. 3, pp. 567-572, 2009.
18. A. Skander, M. Nadjim and B. Malek, Synchronization chaotic communications with closed cryptographic systems, ICIC Express Letters, vol. 2, no. 3, pp. 269-274, 2008.
19. A. Martí and C. Masoller, Delay-induced synchronization phenomena in an array of globally coupled logistic maps, Physical Review E, vol. 67, no. 5, pp. 1-6, 2003.
20. F. Atay, J. Jost and A. Wende, Delays, connection topology, and synchronization of coupled chaotic maps, Physical Review Letters, vol. 92, no. 14, pp. 1-4, 2004.
21. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez and D. Hwang, Complex networks: Structure and dynamics, Physics Reports, vol. 424, no. 4-5, pp. 175-308, 2006.
22. X. Wang and G. Chen, Pinning control of scale-free dynamical networks, Physica A: Statistical Mechanics and Its Applications, vol. 310, no. 3-4, pp. 521-531, 2002.
23. C. Li and G. Chen, Synchronization in general complex dynamical networks with coupling delays, Physica A: Statistical Mechanics and Its Applications, vol. 343, pp. 263-278, 2004.
24. H. Gao, J. Lam and G. Chen, New criteria for synchronization stability of general complex dynamical networks with coupling delays, Physics Letters A, vol. 360, no. 2, pp. 263-273, 2006.
25. W. Lu and T. Chen, Synchronization of coupled connected neural networks with delays, IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 51, no. 12, pp. 2491-2503, 2004. (Pubitemid 40009470)
26. C. Wu, I. Center and N. Yorktown, Heights, synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling, IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 52, no. 5, pp. 282-286, 2005.
27. J. Cao, P. Li and W. Wang, Global synchronization in arrays of delayed neural networks with constant and delayed coupling, Physics Letters A, vol. 353, no. 4, pp. 318-325, 2006. (Pubitemid 43575139)
28. J. Lu and G. Chen, A time-varying complex dynamical network model and its controlled synchronization criteria, IEEE Transactions on Automatic Control, vol. 50, no. 6, pp. 841-846, 2005.
29. J. Zhou, J. Lu and J. Lii, Adaptive synchronization of an uncertain complex dynamical network, IEEE Transactions on Automatic Control, vol. 51, no. 4, pp. 652-656, 2006.
30. Q. Zhang, J. Lu and C. Tse, Adaptive feedback synchronization of a general complex dynamical network with delayed nodes, IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 55, no. 2, pp. 183-187, 2008.
31. K. Li, S. Guan, X. Gong and C. Lai, Synchronization stability of general complex dynamical networks with time-varying delays, Physics Letters A, 2008.
32. S. Wang, R. Nathuji, R. Bettati and W. Zhao, Providing statistical delay guarantees in wireless networks, Proc. of the 24th International Conference on Distributed Computing Systems, pp. 48-55, 2004.
33. R. Luo and L. Chung, Stabilization for linear uncertain system with time latency, IEEE Transactions on Industrial Electronics, vol. 49, no. 4, pp. 905-910, 2002.
34. Y. Moon, P. Park and W. Kwon, Robust stabilization of uncertain input-delayed systems using reduction method, Automatica, vol. 37, no. 2, pp. 307-312, 2001.
35. H. Park, Y. Kim, D. Kim and W. Kwon, A scheduling method for network-based control systems, IEEE Transactions on Control Systems Technology, vol. 10, no. 3, pp. 318-330, 2002.
36. D. Yue, E. Tian, Y. Zhang and C. Peng, Delay-distribution-dependent robust stability of uncertain systems with time-varying delay, International Journal of Robust and Nonlinear Control, vol. 19, no. 4, 2009.
37. Y. Zhang, D. Yue and E. Tian, Robust delay-distribution-dependent stability of discrete-time stochastic neural networks with time-varying delay, Neurocomputing, vol. 72, no. 4-6, pp. 1265-1273, 2009.
38. B. Mensour and A. Longtin, Synchronization of delay-differential equations with application to private communication, Physics Letters A, vol. 244, no. 1-3, pp. 59-70, 1998.
39. C. Li, X. Liao and K. Wong, Chaotic lag synchronization of coupled time-delayed systems and its applications in secure communication, Physica D: Nonlinear Phenomena, vol. 194, no. 3-4, pp. 187-202, 2004.
40. M. Jiang, Y. Shen, J. Jian and X. Liao, Stability, bifurcation and a new chaos in the logistic differential equation with delay, Physics Letters A, vol. 350, no. 3-4, pp. 221-227, 2006. (Pubitemid 43112261)
41. Z. Wang, D. Ho and X. Liu, Robust filtering under randomly varying sensor delay with variance constraints, IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 51, no. 6, pp. 320-326, 2004.
42. M. Wu, Y. He, J. She and G. Liu, Delay-dependent criteria for robust stability of time-varying delay systems, Automatica, vol. 40, no. 8, pp. 1435-1439, 2004.
43. S. Xu, J. Lam and Y. Zou, New results on delay-dependent robust H∞ control for systems with time-varying delays, Automatica, vol. 42, no. 2, pp. 343-348, 2006. (Pubitemid 41828196)
44. F. Yang, Z. Wang, Y. Hung and M. Gani, H∞ control for networked systems with random communication delays, IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 511-518, 2006.