Sampled-data synchronization control of dynamical networks with stochastic sampling

IEEE Transactions on Automatic Control

Volumn 57, Issue 10, 2012, Pages 2644-2650

  Shen, Bo ^a   Wang, Zidong ^a,b   Liu, Xiaohui ^b  

^a DONGHUA UNIVERSITY   (China)

^b BRUNEL UNIVERSITY   (United Kingdom)

Author keywords

Dynamical networks; Gronwall's inequality; Jenson integral inequality; sampled data control; stochastic sampling; synchronization control

Indexed keywords

DYNAMICAL NETWORKS; GRONWALL'S INEQUALITY; INTEGRAL INEQUALITIES; SAMPLED-DATA CONTROL; STOCHASTIC SAMPLING; SYNCHRONIZATION CONTROL;

LYAPUNOV FUNCTIONS; STOCHASTIC SYSTEMS;

SYNCHRONIZATION;

EID: 84866893199     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2190179     Document Type: Article

References (25)

1. R. Albert and A. L. Barabási, "Statistical mechanics of complex networks," Rev. Modern Phys., vol. 74, no. 1, pp. 47-97, Jan. 2002.
2. B. Bamieh and J. Pearson, "A general framework for linear periodicsystems with applications to - sampled-data control," IEEE Trans. Autom. Control, vol. 37, no. 4, pp. 418-435, Apr. 1992.
3. M. Basin, P. Shi, and D. Calderon-Alvarez, "Central suboptimal - filter design for linear time-varying systems with state and measurement delays," Int. J. Syst. Sci., vol. 41, no. 4, pp. 411-421, 2010.
4. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, PA: SIAM, 1994.
5. T. Chen and B. Francis, Optimal Sampled-Data Control Systems. London, U.K.: Springer, 1995.
6. T. Chen, X. Liu, and W. Lu, "Pinning complex networks by a single controller," IEEE Trans. Circuits Syst. I: Reg. Papers, vol. 54, no. 6, pp. 1317-1326, Jun. 2007. (Pubitemid 46971536)
7. R. L. Cook, "Stochastic sampling in computer graphics," ACM Trans. Graph., vol. 5, no. 1, pp. 51-72, Jan. 1986.
8. E. Fridman, U. Shaked, and V. Suplin, "Input/output delay approach to robust sampled-data- control," Syst. Control Lett., vol. 54, no. 3, pp. 271-282, Mar. 2005.
9. H. Gao, J. Wu, and P. Shi, "Robust sampled-data - control with stochastic sampling," Automatica, vol. 45, no. 7, pp. 1729-1736, Jul. 2009.
10. D. P. Goodall and R. Postoyan, "Output feedback stabilization for uncertain nonlinear time-delay systems subject to input constraints," Int. J. Control, vol. 83, no. 4, pp. 676-693, 2010.
11. K. Gu, "An integral inequality in the stability problem of time-delay systems," in Proc. 39th IEEE Conf. Decision Control, Sydney, Australia, Dec. 2000, pp. 2805-2810. (Pubitemid 32528463)
12. H. Karimi and H. Gao, "LMI-based - synchronization of secondorder neutral master-slave systems using delayed output feedback control," Int. J. Control, Autom. Syst., vol. 7, no. 3, pp. 371-380, Jun. 2009.
13. H. Karimi and H. Gao, "New delay-dependent exponential - synchronization for uncertain neural networks with mixed time delays," IEEE Trans. Syst., Man Cybern. B, vol. 40, no. 1, pp. 173-185, 2010.
14. H. Karimi and P. Maass, "Delay-range-dependent exponential - synchronization of a class of delayed neural networks," Chaos, Solitons Fractals, vol. 41, no. 3, pp. 1125-1135, Aug. 2009.
15. P. Li, J. Lam, and Z. Shu, "On the transient and steady-State estimates of interval genetic regulatory networks," IEEE Trans. Syst., Man Cybern. B, vol. 40, no. 2, pp. 336-349, 2010.
16. Y. Liu, Z. Wang, J. Liang, and X. Liu, "Synchronization and state estimation for discrete-time complex networks with distributed delays," IEEE Trans. Syst., Man Cybern. B, vol. 38, no. 5, pp. 1314-1325, Oct. 2008.
17. J. Lü and G. Chen, "A time-varying complex dynamical network model and its controlled synchronization criteria," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 841-846, Jun. 2005. (Pubitemid 40902708)
18. W. Lu, X. Li, and Z. Rong, "Global stabilization of complex networks with digraph topologies via a local pinning algorithm," Automatica, vol. 46, no. 1, pp. 116-121, 2010.
19. X. Mao, Stochastic Differential Equations and Their Applications. Chichester, U.K.: Horwood , 1997.
20. H. Su, X. Wang, and Z. Lin, "Synchronization of coupled harmonic oscillators in a dynamic proximity network," Automatica, vol. 45, no. 10, pp. 2286-2291, 2009.
21. S. H. Strogatz, "Exploring complex networks," Nature, vol. 410, no. 6825, pp. 268-276, Mar. 2001. (Pubitemid 32216604)
22. Y. Yamamoto, "New approach to sampled-data control systems-A function space method," in Proc. IEEE Conf. Decision Control, Honolulu, HI, 1990, pp. 1882-1887. (Pubitemid 21691190)
23. W. Yu, G. Chen, and J. Lü, "On pinning synchronization of complex dynamical networks," Automatica, vol. 45, no. 2, pp. 429-435, 2009.
24. D. Yue, E. Tian, Z. Wang, and J. Lam, "Stabilization of systems with probabilistic interval input delays and its applications to networked control systems," IEEE Trans. Syst., Man Cybern. A, vol. 39, no. 4, pp. 939-945, Jul. 2009.
25. J. Zhou and T. Chen, "Synchronization in general complex delayed dynamical networks," IEEE Trans. Circuits Syst. I, vol. 53, no. 3, pp. 733-744, Mar. 2006.