Pinning consensus in networks of multiagents via a single impulsive controller

IEEE Transactions on Neural Networks and Learning Systems

Volumn 24, Issue 7, 2013, Pages 1141-1149

  Liu, Bo ^a,b   Lu, Wenlian ^a   Chen, Tianping ^a  

^a FUDAN UNIVERSITY   (China)

^b INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

Consensus; impulsive pinning control; multiagent systems; synchronization

Indexed keywords

CONSENSUS; GRAPH LAPLACIAN; IMPULSIVE INTERVALS; PINNING CONTROL; SINGLE IMPULSIVE CONTROLLERS; SUFFICIENT CONDITIONS; THEORETICAL RESULT; UNDERLYING GRAPHS;

EIGENVALUES AND EIGENFUNCTIONS; SYNCHRONIZATION;

MULTI AGENT SYSTEMS;

EID: 84877925298     PISSN: 2162237X     EISSN: 21622388     Source Type: Journal    
DOI: 10.1109/TNNLS.2013.2247059     Document Type: Article

References (27)

1. W. Ren, R. W. Beard, and E. M. Atkins, "A survey of consensus problems in multi-agent coordination," in Proc. Amer. Control Conf. , Jun. 2005, pp. 1859-1864. (Pubitemid 41189135)
2. R. Olfati-Saber, "Consensus and cooperation in networked multi-agent systems," Proc. IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
3. 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)
4. W. Lu and T. Chen, "New approach to synchronization analysis of linearly coupled ordinary differential systems," Phys. D. Nonlinear Phenomena, vol. 213, no. 2, pp. 214-230, Jan. 2006. (Pubitemid 43052367)
5. T. Chen, S. Amari, and Q. Lin, "A unified algorithm for principal and minor component extraction," Neural Netw. , vol. 11, no. 3, pp. 385-389, 1998.
6. T. Chen, Y. Hua, and W. Yan, "Global convergence of oja's subspace algorithm for principal component extraction," IEEE Trans. Neural Netw. , vol. 8, no. 1, pp. 58-67, Jan. 1998. (Pubitemid 128743614)
7. 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)
8. K. Moore and D. Lucarelli, "Forced and constrained consensus among cooperating agents," in Proc. IEEE Int. Conf. Netw. Sens. Control, Mar. 2005, pp. 449-454. (Pubitemid 44149597)
9. Z. Yang and D. Xu, "Stability analysis of delay neural networks with impulsive effects," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 52, no. 8, pp. 517-521, Aug. 2005. (Pubitemid 44356527)
10. F. Chen, Z. Chen, L. Xiang, Z. Liu, and Z. Yuan, "Reaching a consensus via pinning control," Automatica, vol. 45, no. 5, pp. 1215-1220, May 2009.
11. T. Insperger, "Act-and-wait concept for continuous-time control systems with feedback delay," IEEE Trans. Control Syst. Technol. , vol. 14, no. 5, pp. 974-977, Sep. 2006. (Pubitemid 44268880)
12. T. Insperger and G. Stepan, "Act-and-wait control concept for discretetime systems with feedback delay," IET Control Theory Appl. , vol. 1, no. 3, pp. 553-557, May 2007. (Pubitemid 46738165)
13. W. Xia and J. Cao, "Pinning synchronization of delayed dynamical networks via periodically intermittent control," Chaos, vol. 19, no. 1, pp. 013120-1-013120-8, Dec. 2009.
14. X. Liu and T. Chen, "Cluster synchronization in directed networks via intermittent pinning control," IEEE Trans. Neural Netw. , vol. 22, no. 7, pp. 1009-1020, Jul. 2011.
15. X. Liu, "Stability results for impulsive differential systems with applications to population growth models," Dyn. Stability Syst. , vol. 9, no. 2, pp. 163-174, 1994.
16. X. Liu and A. Willms, "Impulsive controllability of linear dynamical systems with applications to maneuvers of spacecraft," Math. Problems Eng. , vol. 2, no. 4, pp. 277-299, 1996. (Pubitemid 126528804)
17. T. Yang and L. Chua, "Impulsive stabilization for control and synchronization of chaotic systems: Theory and application to secure communication," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol. 44, no. 10, pp. 976-988, Oct. 1997. (Pubitemid 127768200)
18. T. Yang, Impulsive Systems and Control: Theory and Applications. Huntington, NY, USA: Nova Science, 2001.
19. B. Liu and D. Hill, "Impulsive consensus for complex dynamical networks with nonidentical nodes and coupling time-delays," Soc. Indian Automobile Manuf. J. Control Optim. , vol. 49, no. 2, pp. 315-338, Mar. 2011.
20. W. Xiong, D. Ho, and Z. Wang, "Consensus analysis of multiagent networks via aggregated and pinning approaches," IEEE Trans. Neural Netw. , vol. 22, no. 8, pp. 1231-1240, Aug. 2011.
21. J. Zhou, Q. 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.
22. 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.
23. L. Guo, Z. Xu, and M. Hu, "Projective synchronization in drive-response networks via impulsive control," Chin. Phys. Lett. , vol. 25, no. 8, pp. 2816-2819, 2008.
24. Z. Guan, Z. Liu, G. Feng, and Y. Wang, "Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 8, pp. 2182-2195, Aug. 2010.
25. Y. Tang, S. Leung, W. Wong, and J. Fang, "Impulsive pinning synchronization of stochastic discrete-time networks," Neurocomput. , vol. 73, nos. 10-12, pp. 2132-2139, Jun. 2010.
26. P. DeLellis, M. di Bernardo, and M. Porfiri, "Pinning control of complex networks via edge snapping," Chaos, vol. 21, no. 3, pp. 033119-1-033119-13, Jul. 2011.
27. H. Su, Z. Rong, M. Chen, X. Wang, G. Chen, and H. Wang, "Decentralized adaptive pinning control for cluster synchronization of complex dynamical networks," IEEE Trans. Syst. Man, Cybern. Part B, Cybern. , vol. 43, no. 1, pp. 394-399, Feb. 2013.