Stabilization and synchronization of complex dynamical networks with different dynamics of nodes via decentralized controllers

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 59, Issue 8, 2012, Pages 1786-1795

  Wang, Yinhe ^a   Fan, Yongqing ^a   Wang, Qingyun ^b   Zhang, Yun ^a  

^a GUANGDONG UNIVERSITY OF TECHNOLOGY   (China)

^b BEIHANG UNIVERSITY   (China)

Author keywords

Decentralized control; dynamical network; similar nodes; stabilization; synchronization

Indexed keywords

CONTROLLERS; DECENTRALIZED CONTROL; DYNAMICS; LINEAR CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES; STABILIZATION; SYNCHRONIZATION;

COMPLEX DYNAMICAL NETWORKS; DECENTRALIZED CONTROLLER; DYNAMICAL NETWORKS; INVARIANT MANIFOLDS; LINEAR CONTROLLERS; NETWORK MODELING; SIMILAR NODES; SYNCHRONIZATION MANIFOLDS;

COMPLEX NETWORKS;

EID: 84864535707     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2011.2180439     Document Type: Article

References (29)

1. T. Liu, J. Zhao, and D. J. Hill, "Exponential synchronization of complex delayed dynamical networks with switching topology," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 11, pp. 2967-2980, Nov. 2010.
2. G. Chen, X. Wang, X. Li, and J. Lü, "Some recent advances in complex networks synchronization," Stud. Comput. Intell., vol. 254, pp. 3-16, 2009.
3. S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang, "Complex networks: Structure and dynamics," Phys. Rep., vol. 424, no. 4-5, pp. 175-308, Feb. 2006.
4. Z. Duan, J. Wang, G. Chen, and L. Huang, "Stability analysis and decentralized control of a class of complex dynamical networks," Automatica, vol. 44, no. 4, pp. 1028-1035, Apr. 2008.
5. J. Zhou, J. Lu, and J. H. Lü, "Adaptive synchronization of an uncertain complex dynamical network," IEEE Trans. Autom. Control, vol. 51, no. 4, pp. 652-656, 2006, App.
6. J. Zhao, D. J. Hill, and T. Liu, "Synchronization of complex dynamical networks with switching topology: A switched system point of view," Automatica, vol. 45, no. 9, pp. 2502-2511, Sep. 2009.
7. J. Zhou, J. Lu, and J. Lü, "Pinning adaptive synchronization of a general complex dynamical network," Automatica, vol. 44, no. 4, pp. 996-1003, Apr. 2008.
8. T. Liu, G. M. Dimirovski, and J. Zhao, "Exponential synchronization of complex delayed dynamical networks with general topology," Phys. A, vol. 387, no. 2-3, pp. 643-652, Jan. 2008.
9. X. Liu, J. Z. Wang, and L. Huang, "Global synchronization for a class of dynamical complex networks," Phys. A, vol. 386, no. 1, pp. 543-556, Dec. 2007.
10. Y. Wu, W. Wei, G. Li, and J. Xiang, "Pinning control of uncertain complex networks to a homogeneous orbit," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 56, no. 3, pp. 235-239, Mar. 2009.
11. 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.
12. J. Zhou, L. Xiang, and Z. Liu, "Synchronization in complex delayed dynamical networks with impulsive effects," Phys. A, Stati. Mech. and its Appl., vol. 384, no. 2, pp. 684-692, Oct. 2007.
13. J. Zhou, Q. J. Wu, and L. Xiang, "Pinning complex delayed dynamical networks by a single impulsive controller," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 12, pp. 2882-2893, Dec. 2011.
14. Q. Zhang and J. Lu, "Impulsively control complex networks with different dynamical nodes to its trivial equilibrium," Comput. Math. Appl., vol. 57, no. 7, pp. 1073-1079, Apr. 2009.
15. J. Zhao, D. J. Hill, and T. Liu, "Synchronization of dynamical networks with nonidentical nodes: Criteria and control," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 58, no. 3, pp. 584-594, Mar. 2011.
16. Y. Wu, C. Li, Y. Wu, and J. Kurths, "Generalized synchronization between two different complex networks," Commun. Nonlinear Sci. Numer. Simul., vol. 17, no. 1, pp. 349-355, Jan. 2012.
17. K. Josic, "Invariant manifolds and synchronization of coupled dynamical systems," Phys. Rev. Lett., vol. 80, no. 14, pp. 3053-3056, Apr. 1998.
18. K. Josic, "Synchronization of chaotic systems and invariant manifolds," Nonlinearity, vol. 13, no. 4, pp. 1321-1336, Jul. 2000.
19. I. V. Belykh and V. N. Belykh, "Embedded invariant manifolds and ordering of chaotic synchronization of diffusivelly coupled systems," Proc. 2th COC, vol. 2, pp. 346-349, Jul. 2000.
20. I. Chueshov, "Invariant manifolds and nonlinear master-slave synchronization in coupled systems," Appl. Analys., vol. 86, no. 3, pp. 269-286, Apr. 2007.
21. P. Kloeden, "Synchronization of non-autonomous dynamical systems," Elect. J. Differ. Equat., vol. 2003, no. 39, pp. 1-10, Apr. 2003.
22. C. S. Araujo and J. C. Castro, "Application of power system stabilizers in a plant with identical units," IEE Proc. C, vol. 138, no. 1, pp. 11-18, Jan. 1991.
23. L. Bakule and J. Lunze, "Decentralized design of feedback control for large-scale systems," Kybernetika, vol. 24, no. 8, pp. 3-96, 1988.
24. Y. Wang and S. Zhang, "Robust control for nonlinear similar composite systems with uncertain parameters," IEE Proc., Contr. Theory Appl., vol. 147, no. 1, pp. 80-86, Jan. 2000.
25. X. Yan and G. Dai, "Decentralized output feedback robust control for nonlinear large-scale systems," Automatica, vol. 34, no. 11, pp. 1469-1472, Nov. 1998.
26. L. Bakule, "Decentralized control: An overview," Annu. Rev. Cont., vol. 32, no. 1, pp. 87-98, Apr. 2008.
27. M. Y. Li and J. S. Muldowney, "Dynamics of differential equations on invariant manifolds," J. Differ. Equat., vol. 168, no. 2, pp. 295-320, Dec. 2000.
28. J. H. Lü, X. H. Yu, G. R. Chen, and D. Z. Cheng, "Characterizing the synchronizability of small-world dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 4, pp. 787-796, Apr. 2004.
29. A. Barabasi, E. Ravasz, and T. Vicsek, "Deterministic scale-free networks," Phys. A, vol. 299, no. 3-4, pp. 559-564, Oct. 2001.