Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 901282, 8 pages
http://dx.doi.org/10.1155/2015/901282
Research Article

Distance Constrained Based Adaptive Flocking Control for Multiagent Networks with Time Delay

1College of Science, Civil Aviation University of China, No. 2898, Jinbei Road, Tianjin 300300, China
2Department of Automation, Nankai University, Tianjin 300071, China

Received 6 June 2014; Revised 23 September 2014; Accepted 23 September 2014

Academic Editor: He Huang

Copyright © 2015 Qing Zhang 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. E. Shaw, “Fish in schools,” Nature History, vol. 84, no. 8, pp. 40–45, 1975. View at Google Scholar
  2. M. S. Tang, X. J. Mao, and Z. Guessoum, “Research on an infectious disease transmission by flocking birds,” The Scientific World Journal, vol. 2013, Article ID 196823, 7 pages, 2013. View at Publisher · View at Google Scholar · View at Scopus
  3. K. D. Do, “Flocking for multiple elliptical agents with limited communication ranges,” IEEE Transactions on Robotics, vol. 27, no. 5, pp. 931–942, 2011. View at Publisher · View at Google Scholar · View at Scopus
  4. A. Ferrara and C. Vecchio, “Collision avoidance strategies and coordinated control of passenger vehicles,” Nonlinear Dynamics, vol. 49, no. 4, pp. 475–492, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. C. W. Reynolds, “Flocks, herds, and schools: a distributed behavioral model,” in Proceedings of the 14th Annual Conference on Computer Graphics and Interactive Techniques, (SIGGRAPH '87), vol. 21, pp. 25–34, ACM, 1987.
  6. 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
  7. 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
  8. J. Toner, Y. Tu, and S. Ramaswamy, “Hydrodynamics and phases of flocks,” Annals of Physics, vol. 318, no. 1, pp. 170–244, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  9. 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
  10. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, “Stable flocking of mobile agents, part I: fixed topology,” in Proceedings of the 42nd IEEE Conference on Decision and Control, pp. 2010–2015, Maui, Hawaii, USA, December 2003. View at Scopus
  11. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, “Stable flocking of mobile agents, part II: dynamic topology,” in Proceedings of the IEEE Conference on Decision and Control, pp. 2016–2021, Maui, Hawaii, USA, 2003.
  12. M. M. Zavlanos, A. Jadbabaie, and G. J. Pappas, “Flocking while preserving network connectivity,” in Proceedings of the 46th IEEE Conference on Decision and Control (CDC '07), pp. 2919–2924, New Orleans, La, USA, December 2007. View at Publisher · View at Google Scholar · View at Scopus
  13. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, “Flocking in fixed and switching networks,” IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 863–868, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. L. Moreau, “Stability of continuous-time distributed consensus algorithms,” Tech. Rep., School of Electronics and Computer Science, University of Southampton, 2004, http://arxiv.org/pdf/math/0306426.pdf. View at Google Scholar
  15. 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 · View at Scopus
  16. J. P. Hu and Y. G. Hong, “Leader-following coordination of multi-agent systems with coupling time delays,” Physica A, vol. 374, no. 2, pp. 853–863, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. F. Xiao and L. Wang, “State consensus for multi-agent systems with switching topologies and time-varying delays,” International Journal of Control, vol. 79, no. 10, pp. 1277–1284, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  18. C.-L. Liu and Y.-P. Tian, “Formation control of multi-agent systems with heterogeneous communication delays,” International Journal of Systems Science, vol. 40, no. 6, pp. 627–636, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  19. S. Ristian and F. Cesare, “Formation control over delayed communication networks,” in Proceedings of the IEEE International Conference on Robotics and Automation, pp. 536–538, Pasadena, Calif, USA, May 2008.
  20. H. Su, N. Zhang, M. Z. Chen, H. Wang, and X. Wang, “Adaptive flocking with a virtual leader of multiple agents governed by locally Lipschitz nonlinearity,” Nonlinear Analysis: Real World Applications, vol. 14, no. 1, pp. 798–806, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. Z. Yang, Q. Zhang, Z. Jiang, and Z. Chen, “Flocking of multi-agents with time delay,” International Journal of Systems Science, vol. 43, no. 11, pp. 2125–2134, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  22. J.-L. Wang, H.-N. Wu, and L. Guo, “Novel adaptive strategies for synchronization of linearly coupled neural networks with reaction-diffusion terms,” IEEE Transactions on Neural Networks and Learning Systems, vol. 25, no. 2, pp. 429–440, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. J. L. Wang and H. N. Wu, “Synchronization and adaptive control of an array of linearly coupled reaction-diffusion neural networks with hybrid coupling,” IEEE Transactions on Cybernetics, vol. 44, no. 8, pp. 1350–1361, 2014. View at Google Scholar
  24. J.-L. Wang and H.-N. Wu, “Adaptive output synchronization of complex delayed dynamical networks with output coupling,” Neurocomputing, vol. 142, pp. 174–181, 2014. View at Publisher · View at Google Scholar · View at Scopus
  25. J.-L. Wang and H.-N. Wu, “Leader-following formation control of multi-agent systems under fixed and switching topologies,” International Journal of Control, vol. 85, no. 6, pp. 695–705, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus