Sampled-Data exponential synchronization of complex dynamical networks with time-varying coupling delay

IEEE Transactions on Neural Networks and Learning Systems

Volumn 24, Issue 8, 2013, Pages 1177-1187

  Wu, Zheng Guang ^a   Shi, Peng ^b,c   Su, Hongye ^a   Chu, Jian ^a  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^b VICTORIA UNIVERSITY   (Australia)

^c UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Complex dynamicalnetworks (CDNs); exponential synchronization; sampled data control; time varying coupling delay

Indexed keywords

COMPLEX DYNAMICAL NETWORKS; COMPLEX DYNAMICALNETWORKS (CDNS); CONVEX COMBINATIONS; EXPONENTIAL SYNCHRONIZATION; LYAPUNOV FUNCTIONALS; SAMPLED-DATA CONTROL; SAMPLED-DATA CONTROLLER; TIME-VARYING COUPLING DELAYS;

LYAPUNOV FUNCTIONS; SYNCHRONIZATION; TIME VARYING NETWORKS;

COMPLEX NETWORKS;

EID: 84880920777     PISSN: 2162237X     EISSN: 21622388     Source Type: Journal    
DOI: 10.1109/TNNLS.2013.2253122     Document Type: Article

References (38)

1. P. Shi, "Filtering on sampled-data systems with parametric uncertainty," IEEE Trans. Autom. Control, vol. 43, no. 7, pp. 1022-1027, Jul. 1998. (Pubitemid 128737743)
2. L. Hu, P. Shi, and P. Frank, "Robust sampled-data control for Markovian jump linear systems," Automatica, vol. 42, no. 11, pp. 2025-2030, Nov. 2006. (Pubitemid 44436049)
3. S. K. Nguang and P. Shi, "Fuzzy H? output feedback control of nonlinear systems under sampled measurements," Automatica, vol. 39, no. 12, pp. 2169-2174, Dec. 2003.
4. Q. Liu, R. Wang, and D. Wu, "Stability analysis for sampled-data systems based on multiple Lyapunov functional method," Int. J. Innov. Comput. Inf. Control, vol. 8, no. 9, pp. 6345-6355, Sep. 2012.
5. W. Zhang, M. Branicky, and S. Phillips, "Stability of networked control systems," IEEE Control Syst. Mag., vol. 21, no. 1, pp. 84-99, Feb. 2001. (Pubitemid 32869524)
6. L. Hu, J. Lam, Y. Cao, and H. Shao, "A LMI approach to robust H2 sampled-data control for linear uncertain systems," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 33, no. 1, pp. 149-155, Feb. 2003.
7. E. Fridman, A. Seuret, and J. P. Richard, "Robust sampled-data stabilization of linear systems: An input delay approach," Automatica, vol. 40, no. 8, pp. 1441-1446, Aug. 2004.
8. Z. Wu, P. Shi, H. Su, and J. Chu, "Stochastic synchronization of markovian jump neural networks with time-varying delay using sampled data," IEEE Trans. Cybern., vol. PP, no. 99, pp. 1-11, Jan. 2013.
9. B. Shen, Z. Wang, and X. Liu, "A stochastic sampled-data approach to distributed H? filtering in sensor networks," IEEE Trans. Circuits Syst. I, Regular Paper, vol. 58, no. 9, pp. 2237-2246, Sep. 2011.
10. B. Shen, Z. Wang, and X. Liu, "Sampled-data synchronization control of dynamical networks with stochastic sampling ," IEEE Trans. Autom. Control, vol. 57, no. 10, pp. 2644-2650, Oct. 2012.
11. J. Li, J.Wu, S.Wang, and J. Cui, "Stability and stabilization for sampleddata systems with probabilistic sampling," Int. J. Innov. Comput. Inf. Control, vol. 6, no. 7, pp. 3299-3311, Jul. 2010.
12. E. Fridman, "A refined input delay approach to sampled-data control," Automatica, vol. 46, no. 2, pp. 421-427, Feb. 2010.
13. E. Fridman and A. Blighovsky, "Robust sampled-data control of a class of semilinear parabolic systems," Automatica, vol. 48, no. 5, pp. 826-836, May 2012.
14. Z. Wu, P. Shi, H. Su, and J. Chu, "Exponential synchronization of neural networks with discrete and distributed delays under time-varying sampling," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 9, pp. 1368-1376, Sep. 2012.
15. Z. Wu, P. Shi, H. Su, and J. Chu, "Network-based robust passive control for fuzzy systems with randomly occurring uncertainties," IEEE Trans. Fuzzy Syst., vol. PP, no. 99, p. 1, Dec. 2012.
16. K. Liu, E. Fridman, and L. Hetel, "Stability and L2-gain analysis of networked control systems under round-robin scheduling: A time-delay approach," Syst. Control Lett., vol. 61, no. 5, pp. 666-675, May 2012.
17. K. Liu and E. Fridman, "Wirtinger?s inequality and Lyapunov-based sampled-data stabilization," Automatica, vol. 48, no. 1, pp. 102-108, Jan. 2012.
18. A. Seuret, "A novel stability analysis of linear systems under asynchronous samplings," Automatica, vol. 48, no. 1, pp. 177-182, Jan. 2012.
19. A. Seuret, "Stability analysis for sampled-data systems with a timevarying period," in Proc. Joint 48th IEEE Conf. Decision Control, Dec. 2009, pp. 8130-8135.
20. W. Jiang and A. Seuret, "Improved stability analysis of networked control systems under asynchronous sampling and input delay," in Proc. 2nd IFAC Workshop Distrib. Estimation Control Netw. Syst., Sep. 2010, pp. 79-84.
21. 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.
22. Z. Wang, Y. Wang, and Y. Liu, "Global synchronization for discrete-time stochastic complex networks with randomly occurred nonlinearities and mixed time-delays," IEEE Trans. Neural Netw., vol. 21, no. 1, pp. 11-25, Jan. 2010.
23. 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, Regular Paper, vol. 59, no. 2, pp. 371-384, Feb. 2012.
24. Y. Wang, H. Zhang, X. Wang, and D. Yang, "Networked synchronization control of coupled dynamic networks with time-varying delay," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 40, no. 6, pp. 1468-1479, Dec. 2010.
25. H. Sun, Q. Zhang, and N. Li, "Synchronization control of united complex dynamical networks with multi-links," Int. J. Innov. Comput. Inf. Control, vol. 7, no. 2, pp. 927-939, Feb. 2011.
26. H. Sun, N. Li, H. Sun, and H. Niu, "Adaptive synchronization control of the delayed complex dynamical networks and its application on electromechanical systems," ICIC Exp. Lett., vol. 5, no. 10, pp. 3605-3611, Oct. 2011.
27. Y.-W. Wang, J.-W. Xiao, C. Wen, and Z.-H. Guan, "Synchronization of continuous dynamical networks with discrete-time communications," IEEE Trans. Neural Netw., vol. 22, no. 12, pp. 1979-1986, Dec. 2011.
28. H. Li, "Synchronization stability for discrete-time stochastic complex networks with probabilistic interval time-varying delays," Int. J. Innov. Comput. Inf. Control, vol. 7, no. 2, pp. 697-708, Feb. 2011.
29. J. Lu, J. Kurths, J. Cao, N. Mahdavi, and C. Huang, "Synchronization control for nonlinear stochastic dynamical networks: Pinning impulsive strategy," IEEE Trans. Neural Netw. Learn. Syst., vol. 23, no. 2, pp. 285-292, Feb. 2012.
30. 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. 329-335, Feb. 2011.
31. B. Shen, Z. Wang, and X. Liu, "Bounded H? synchronization and state estimation for discrete time-varying stochastic complex networks over a finite-horizon," IEEE Trans. Neural Netw., vol. 22, no. 1, pp. 145-157, Jan. 2011.
32. J. Liang, Z. Wang, X. Liu, and P. Louvieris, "Robust synchronization for 2-D discrete-time coupled dynamical networks," IEEE Trans. Neural Netw. Learn. Syst., vol. 26, no. 6, pp. 942-953, Jun. 2012.
33. N. Li, Y. Zhang, J. Hu, and Z. Nie, "Synchronization for general complex dynamical networks with sampled-data," Neurocomputing, vol. 74, no. 5, pp. 805-811, Feb. 2011.
34. Z. Wu, Ju H. Park, H. Su, B. Song, and J. Chu, "Exponential synchronization for complex dynamical networks with sampled-data," J. Franklin Inst., vol. 349, no. 9, pp. 2735-2749, Nov. 2012.
35. Z. Wang, Y. Liu, and X. Liu, "H? filtering for uncertain stochastic timedelay systems with sector-bounded nonlinearities," Automatica, vol. 44, no. 5, pp. 1268-1277, May 2008.
36. P. Park, J. W. Ko, and C. Jeong, "Reciprocally convex approach to stability of systems with time-varying delays," Automatica, vol. 47, no. 1, pp. 235-238, Jan. 2011.
37. Z. Shu and J. Lam, "Exponential estimates and stabilization of uncertain singular systems with discrete and distributed delays," Int. J. Control, vol. 81, no. 6, pp. 865-882, Jun. 2008.
38. E. Fridman, "New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems," Syst. Control Lett., vol. 43, no. 4, pp. 309-319, Jul. 2001. (Pubitemid 32663776)