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Discrete Dynamics in Nature and Society
Volume 2012 (2012), Article ID 390691, 9 pages
http://dx.doi.org/10.1155/2012/390691
Research Article

Consensus of Discrete Time Second-Order Multiagent Systems with Time Delay

Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 1 June 2012; Accepted 14 November 2012

Academic Editor: Antonia Vecchio

Copyright © 2012 Wei Zhu. 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. A. Jadbabaie, J. Lin, and A. S. Morse, “Coordination of groups of mobile autonomous agents using nearest neighbor rules,” IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 988–1001, 2003. View at Publisher · View at Google Scholar
  2. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, “Novel type of phase transition in a system of self-driven particles,” Physical Review Letters, vol. 75, no. 6, pp. 1226–1229, 1995. View at Publisher · View at Google Scholar · View at Scopus
  3. L. Moreau, “Stability of multiagent systems with time-dependent communication links,” IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 169–182, 2005. View at Publisher · View at Google Scholar
  4. L. Wang and F. Xiao, “A new approach to consensus problems in discrete-time multiagent systems with time-delays,” Science in China F, vol. 50, no. 4, pp. 625–635, 2007. View at Publisher · View at Google Scholar
  5. F. Xiao, L. Wang, and A. Wang, “Consensus problems in discrete-time multiagent systems with fixed topology,” Journal of Mathematical Analysis and Applications, vol. 322, no. 2, pp. 587–598, 2006. View at Publisher · View at Google Scholar
  6. F. Xiao and L. Wang, “Consensus protocols for discrete-time multi-agent systems with time-varying delays,” Automatica, vol. 44, no. 10, pp. 2577–2582, 2008. View at Publisher · View at Google Scholar
  7. 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
  8. P. Lin and Y. Jia, “Consensus of a class of second-order multi-agent systems with time-delay and jointly-connected topologies,” IEEE Transactions on Automatic Control, vol. 55, no. 3, pp. 778–784, 2010. View at Publisher · View at Google Scholar
  9. W. Zhu and D. Cheng, “Leader-following consensus of second-order agents with multiple time-varying delays,” Automatica, vol. 46, no. 12, pp. 1994–1999, 2010. View at Publisher · View at Google Scholar
  10. J. Qin, H. Gao, and W. X. Zheng, “Second-order consensus for multi-agent systems with switching topology and communication delay,” Systems & Control Letters, vol. 60, no. 6, pp. 390–397, 2011. View at Publisher · View at Google Scholar
  11. H. Su, G. Chen, X. Wang, and Z. Lin, “Adaptive second-order consensus of networked mobile agents with nonlinear dynamics,” Automatica, vol. 47, no. 2, pp. 368–375, 2011. View at Publisher · View at Google Scholar
  12. Y. G. Sun and L. Wang, “Consensus problems in networks of agents with double-integrator dynamics and time-varying delays,” International Journal of Control, vol. 82, no. 10, pp. 1937–1945, 2009. View at Publisher · View at Google Scholar
  13. 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
  14. P. Lin and Y. Jia, “Consensus of second-order discrete-time multi-agent systems with nonuniform time-delays and dynamically changing topologies,” Automatica, vol. 45, no. 9, pp. 2154–2158, 2009. View at Publisher · View at Google Scholar
  15. D. J. Liu and C. L. Liu, “Consensus problem of discrete-time second-order multi-agent network with communication delays,” in Proceedings of the 3rd International Symposium on Intelligent Information Technology Application (IITA '09), pp. 340–344, November 2009. View at Publisher · View at Google Scholar · View at Scopus
  16. Y. Zhang and Y.-P. Tian, “Consentability and protocol design of multi-agent systems with stochastic switching topology,” Automatica, vol. 45, no. 5, pp. 1195–1201, 2009. View at Publisher · View at Google Scholar
  17. D. Angeli and P.-A. Bliman, “Stability of leaderless discrete-time multi-agent systems,” Mathematics of Control, Signals, and Systems, vol. 18, no. 4, pp. 293–322, 2006. View at Publisher · View at Google Scholar
  18. W. Ren and R. W. Beard, “Consensus seeking in multiagent systems under dynamically changing interaction topologies,” IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 655–661, 2005. View at Publisher · View at Google Scholar
  19. Z. Lin, B. Francis, and M. Maggiore, “Necessary and sufficient graphical conditions for formation control of unicycles,” IEEE Transactions on Automatic Control, vol. 50, no. 1, pp. 121–127, 2005. View at Publisher · View at Google Scholar