About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2014 (2014), Article ID 974129, 7 pages
http://dx.doi.org/10.1155/2014/974129
Research Article

Adjacent-Compensation Consensus Algorithm in Asynchronously Coupled Form for Second-Order Multiagent Network under Communication Delay

Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Institute of Automation, Jiangnan University, Wuxi 214122, China

Received 28 October 2013; Revised 15 January 2014; Accepted 15 January 2014; Published 20 February 2014

Academic Editor: Douglas Anderson

Copyright © 2014 Cheng-Lin Liu and Fei Liu. 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 · View at MathSciNet
  2. 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
  3. 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 · View at MathSciNet
  4. 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 Zentralblatt MATH · View at MathSciNet
  5. Y. G. Hong, L. X. Gao, D. Z. Cheng, and J. Hu, “Lyapunov-based approach to multiagent systems with switching jointly connected interconnection,” IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 943–948, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  6. L. Gao, J. Zhang, and W. Chen, “Second-order consensus for multiagent systems under directed and switching topologies,” Mathematical Problems in Engineering, vol. 2012, Article ID 273140, 21 pages, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  7. P. Lin, Y. Jia, J. Du, and S. Yuan, “Distributed consensus control for second-order agents with fixed topology and time-delay,” in Proceedings of the 26th Chinese Control Conference (CCC '07), pp. 577–581, July 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. 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
  9. J. Hu and Y. 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
  10. H. Su and X. Wang, “Second-order consensus of multiple agents with coupling delay,” in Proceedings of the 7th world Congress on Intelligent Control and Automation (WCICA '08), pp. 7177–7180, June 2008. View at Publisher · View at Google Scholar · View at Scopus
  11. P. Lin, Y. Jia, and L. Li, “Distributed robust H consensus control in directed networks of agents with time-delay,” Systems & Control Letters, vol. 57, no. 8, pp. 643–653, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. Y. G. Sun, L. Wang, and G. Xie, “Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays,” Systems & Control Letters, vol. 57, no. 2, pp. 175–183, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  13. 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 · View at Zentralblatt MATH · View at MathSciNet
  14. J. Yu and L. Wang, “Group consensus in multi-agent systems with switching topologies and communication delays,” Systems & Control Letters, vol. 59, no. 6, pp. 340–348, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. Z. Tang, T. Huang, J. Hu, and J.-L. Shao, “Leader-following consensus in networks of agents with nonuniform time-varying delays,” Mathematical Problems in Engineering, vol. 2012, Article ID 848942, 14 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. J. Wang and N. Elia, “Consensus over networks with dynamic channels,” in Proceedings of the American Control Conference (ACC '08), pp. 2637–2642, June 2008. View at Publisher · View at Google Scholar · View at Scopus
  17. D. J. Lee and M. W. Spong, “Agreement with non-uniform information delays,” in Proceedings of the American Control Conference (ACC '06), pp. 756–761, June 2006. View at Scopus
  18. L. Moreau, “Stability of continuous-time distributed consensus algorithms,” in Proceedings of the 43rd IEEE Conference on Decision and Control (CDC), pp. 3998–4003, December 2004. View at Scopus
  19. W. Wang and J.-J. E. Slotine, “Contraction analysis of time-delayed communications and group cooperation,” IEEE Transactions on Automatic Control, vol. 51, no. 4, pp. 712–717, 2006. View at Publisher · View at Google Scholar · View at MathSciNet
  20. N. Chopra and M. K. Spong, “Passivity-based control of multi-agent systems,” in Advances in Robot Control: From Everyday Physics to Human-Like Movements, pp. 107–134, Springer, New York, NY, USA, 2006.
  21. M. Cao, A. S. Morse, and B. D. O. Anderson, “Reaching an agreement using delayed information,” in Proceedings of the 45th IEEE Conference on Decision and Control (CDC '06), pp. 3375–3380, December 2006. View at Scopus
  22. L. Wang and F. Xiao, “A new approach to consensus problems for discrete-time multiagent systems with time-delays,” in Proceedings of the American Control Conference (ACC '06), pp. 2118–2123, June 2006. View at Scopus
  23. 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 · View at Zentralblatt MATH · View at MathSciNet
  24. C.-L. Liu and F. Liu, “Stationary consensus of heterogeneous multi-agent systems with bounded communication delays,” Automatica, vol. 47, no. 9, pp. 2130–2133, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  25. W. Yang, A. L. Bertozzi, and X. Wang, “Stability of a second order consensus algorithm with time delay,” in Proceedings of the 47th IEEE Conference on Decision and Control (CDC '08), pp. 2926–2931, December 2008. View at Publisher · View at Google Scholar · View at Scopus
  26. C.-L. Liu and F. Liu, “Asynchronously-coupled consensus of second-order dynamic agents with communication delay,” International Journal of Innovative Computing, Information and Control, vol. 6, no. 11, pp. 5035–5046, 2010. View at Scopus
  27. U. Münz, A. Papachristodoulou, and F. Allgöwer, “Delay robustness in consensus problems,” Automatica, vol. 46, no. 8, pp. 1252–1265, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  28. C.-L. Liu and F. Liu, “Dynamical consensus seeking of second-order multi-agent systems based on delayed state compensation,” Systems & Control Letters, vol. 61, no. 12, pp. 1235–1241, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet