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Mathematical Problems in Engineering
Volume 2013, Article ID 978251, 7 pages
http://dx.doi.org/10.1155/2013/978251
Research Article

Second-Order Consensus in Multiagent Systems via Nonlinear Protocol

1School of Physics Electrical Information Engineering, Ningxia University, Yinchuan 750021, China
2School of Information Science and Engineering, Central South University, Changsha 410075, China

Received 8 February 2013; Accepted 15 April 2013

Academic Editor: Wenwu Yu

Copyright © 2013 Huan Pan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. W. Lu, F. Atay, and J. Jost, “Synchronization of discrete-time dynamical networks with time-varying couplings,” SIAM Journal on Mathematical Analysis, vol. 39, no. 2, pp. 1231–1259, 2007. View at Google Scholar
  2. S. Barbarossa and G. Scutari, “Decentralized maximum-likelihood estimation for sensor networks composed of nonlinearly coupled dynamical systems,” IEEE Transactions on Signal Processing, vol. 55, no. 7, part 1, pp. 3456–3470, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  3. T. Chen and Z. Zhu, “Exponential synchronization of nonlinear coupled dynamical networks,” International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 17, no. 3, pp. 999–1005, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. W. Lu and T. Chen, “Synchronization of coupled connected neural networks with delays,” IEEE Transactions on Circuits and Systems. I., vol. 51, no. 12, pp. 2491–2503, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  5. X. Liu and T. Chen, “Exponential synchronization of nonlinear coupled dynamical networks with a delayed coupling,” Physica A, vol. 381, no. 15, pp. 82–92, 2007. View at Publisher · View at Google Scholar
  6. W. Yu, G. Chen, J. Lü, and J. Kurths, “Synchronization via pinning control on general complex networks,” SIAM Journal on Control and Optimization, vol. 51, no. 2, pp. 1395–1416, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  7. D. Bauso, L. Giarré, and R. Pesenti, “Non-linear protocols for optimal distributed consensus in networks of dynamic agents,” Systems & Control Letters, vol. 55, no. 11, pp. 918–928, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  8. F. Xiao, L. Wang, and Y. Jia, “Fast information sharing in networks of autonomous agents,” in Proceedings of the American Control Conference (ACC '08), pp. 4388–4393, Seattle, Wash, USA, June 2008. View at Publisher · View at Google Scholar · View at Scopus
  9. R. Olfati-Saber and R. M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520–1533, 2004. View at Publisher · View at Google Scholar · View at MathSciNet
  10. X. Liu, T. Chen, and W. Lu, “Consensus problem in directed networks of multi-agents via nonlinear protocols,” Physics Letters A, vol. 373, no. 35, pp. 3122–3127, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. Q. Hui and W. M. Haddad, “Distributed nonlinear control algorithms for network consensus,” Automatica, vol. 44, no. 9, pp. 2375–2381, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. Y. Shang, “On consensus of nonlinear multi-agent systems under directed interaction topologies,” in Proceedings of the International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery (CyberC '09), pp. 128–131, Beijing, China, October 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. M. Li and X. Guan, “Nonlinear consensus protocols for multi-agent systems based on centre manifold reduction,” Chinese Physics B, vol. 18, no. 8, pp. 3355–3366, 2009. View at Publisher · View at Google Scholar · View at Scopus
  14. G. Shi and Y. Hong, “Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies,” Automatica, vol. 45, no. 5, pp. 1165–1175, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. R. Sepulchre, “Consensus on nonlinear spaces,” Annual Reviews in Control, vol. 35, no. 1, pp. 56–64, 2011. View at Publisher · View at Google Scholar
  16. W. Yu, G. Chen, and M. Cao, “Consensus in directed networks of agents with nonlinear dynamics,” IEEE Transactions on Automatic Control, vol. 56, no. 6, pp. 1436–1441, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  17. J. Zhou and Q. Wang, “Distributed discrete-time nonlinear consensus protocols,” in Proceedings of the 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference (CDC/CCC '09), pp. 4759–4764, Shanghai, China, December 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. W. Yu, G. Chen, M. Cao, and J. Kurths, “Second-Order consensus for multiagent systems with directed topologies and nonlinear dynamics,” IEEE Transactions on Systems, Man, and Cybernetics B, vol. 40, no. 3, pp. 881–891, 2010. View at Publisher · View at Google Scholar · View at Scopus
  19. Q. Song, J. Cao, and W. Yu, “Second-order leader-following consensus of nonlinear multi-agent systems via pinning control,” Systems & Control Letters, vol. 59, no. 9, pp. 553–562, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  20. W. Ren, “On consensus algorithms for double-integrator dynamics,” IEEE Transactions on Automatic Control, vol. 53, no. 6, pp. 1503–1509, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  21. W. Ren and E. Atkins, “Distributed multi-vehicle coordinated control via local information exchange,” International Journal of Robust and Nonlinear Control, vol. 17, no. 10-11, pp. 1002–1033, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  22. W. Yu, G. Chen, and M. Cao, “Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems,” Automatica, vol. 46, no. 6, pp. 1089–1095, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet