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Mathematical Problems in Engineering
Volume 2014, Article ID 616024, 7 pages
http://dx.doi.org/10.1155/2014/616024
Research Article

Consensus of the Multiagent System with a Dynamic Leader Based on Directed Topology Using Laplace Transform

1College of Science, North China University of Technology, Beijing 100144, China
2College of Mechanical and Electrical Engineering, North China University of Technology, Beijing 100144, China
3Power Electronics and Motor Driving Engineering Center, North China University of Technology, Beijing 100144, China

Received 26 June 2014; Accepted 19 July 2014; Published 5 August 2014

Academic Editor: Wei Zhang

Copyright © 2014 Bo Liu 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. T. Vicsek, A. Czirk, 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
  2. 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 · View at MathSciNet · View at Scopus
  3. R. Olfati-Saber, “Flocking for multi-agent dynamic systems: algorithms and theory,” IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 401–420, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. H. Su, X. Wang, and Z. Lin, “Flocking of multi-agents with a virtual leader,” IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 293–307, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. H. Shi, L. Wang, and T. Chu, “Virtual leader approach to coordinated control of multiple mobile agents with asymmetric interactions,” Physica D: Nonlinear Phenomena, vol. 213, no. 1, pp. 51–65, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. H. Su, X. Wang, and G. Chen, “A connectivity-preserving flocking algorithm for multi-agent systems based only on position measurements,” International Journal of Control, vol. 82, no. 7, pp. 1334–1343, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  7. Y. Hong, J. Hu, and L. Gao, “Tracking control for multi-agent consensus with an active leader and variable topology,” Automatica, vol. 42, no. 7, pp. 1177–1182, 2006. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. H. Su, X. Wang, and W. Yang, “Flocking in multi-agent systems with multiple virtual leaders,” Asian Journal of Control, vol. 10, no. 2, pp. 238–245, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. V. Gazi and K. M. Passino, “Stability analysis of swarms,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 48, no. 4, pp. 692–697, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. W. Ren, “Collective motion from consensus with Cartesian coordinate coupling,” IEEE Transactions on Automatic Control, vol. 54, no. 6, pp. 1330–1335, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. H. Su, X. Wang, and G. Chen, “Rendezvous of multiple mobile agents with preserved network connectivity,” Systems and Control Letters, vol. 59, no. 5, pp. 313–322, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. V. Gazi and K. M. Passino, “Stability analysis of social foraging swarms,” IEEE Transactions on Systems, Man, and Cybernetics B: Cybernetics, vol. 34, no. 1, pp. 539–557, 2004. View at Publisher · View at Google Scholar · View at Scopus
  13. 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 · View at MathSciNet · View at Scopus
  14. B. Liu, T. Chu, and L. Wang, “Stability and oscillation of swarm with interaction time delays,” in Proceedings of the American Control Conference (ACC '07), pp. 4600–4605, July 2007. View at Publisher · View at Google Scholar · View at Scopus
  15. J. Y. Yu and L. Wang, “Group consensus of multi-agent systems with undirected communication graphs,” in Proceedings of the 7th Asian Control Conference, pp. 105–110, 2009.
  16. H. Su, M. Chen, J. Lam, and Z. Lin, “Semi-global leader-following consensus of linear multi-agent systems with input saturation via low gain feedback,” IEEE Transactions on Circuits and Systems. I: Regular Papers, vol. 60, no. 7, pp. 1881–1889, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. B. Liu, T. G. Chu, L. Wang, and Z. Wang, “Collective motion of a class of social foraging swarms,” Chaos, Solitons and Fractals, vol. 38, no. 1, pp. 277–292, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. B. Liu, X. M. Zhu, and J. Zhang, “Consensus analyss of the multi-agent sysem,” in Proceedings of the 3rd International Workshop on Chaos-Fractals Theories and Applications, (IWCFTA '10), pp. 383–387, October 2010. View at Publisher · View at Google Scholar · View at Scopus
  19. H. Shi, L. Wang, and T. G. Chu, “Stability behavior of multi-agent system,” Journal of Control Theory and Applications, vol. 4, pp. 313–318, 2004. View at Google Scholar
  20. H. Su, Z. Rong, M. Z. Q. Chen, X. Wang, G. Chen, and H. Wang, “Decentralized adaptive pinning control for cluster synchronization of complex dynamical networks,” IEEE Transactions on Cybernetics, vol. 43, pp. 394–399, 2013. View at Publisher · View at Google Scholar · View at Scopus
  21. Z. Yang, Z. Liu, Z. Chen, and Z. Yuan, “Tracking control for multi-agent consensus with an active leader and directed topology,” in Proceeding of the 7th World Congress on Intelligent Control and Automation (WCICA '08), pp. 1037–1041, Chongqing, China, June 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. V. Gazi and K. M. Passino, “Stability analysis of swarms in an environment with an attractant/repellent Profile,” in Proceedings of the American Control Conference, pp. 1819–1824, 2002.