About this Journal Submit a Manuscript Table of Contents
Abstract and Applied Analysis
Volume 2013 (2013), Article ID 576290, 8 pages
http://dx.doi.org/10.1155/2013/576290
Research Article

Consensus for Multiagent Systems with Heterogeneous Time-Varying Delays

School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

Received 5 June 2013; Revised 25 October 2013; Accepted 27 October 2013

Academic Editor: Sakthivel Rathinasamy

Copyright © 2013 Beibei Wang and Yuangong Sun. 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. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control, Springer, London, UK, 2008.
  2. R. Olfati-Saber, J. A. Fax, and R. M. Murray, “Consensus and cooperation in networked multi-agent systems,” Proceedings of the IEEE, vol. 95, no. 1, pp. 215–233, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. W. Ren, R. W. Beard, and E. M. Atkins, “Information consensus in multivehicle cooperative control,” IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71–82, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. V. Borkar and P. P. Varaiya, “Asymptotic agreement in distributed estimation,” IEEE Transactions on Automatic Control, vol. 27, no. 3, pp. 650–655, 1982. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. J. N. Tsitsiklis and M. Athans, “Convergence and asymptotic agreement in distributed decision problems,” IEEE Transactions on Automatic Control, vol. 29, no. 1, pp. 42–50, 1984. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  6. 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
  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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. C. Tan and G.-P. Liu, “Consensus of networked multi-agent systems via the networked predictive control and relative outputs,” Journal of the Franklin Institute, vol. 349, no. 7, pp. 2343–2356, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  14. T. Li and J.-F. Zhang, “Mean square average-consensus under measurement noises and fixed topologies: necessary and sufficient conditions,” Automatica, vol. 45, no. 8, pp. 1929–1936, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. Y. Zheng and L. Wang, “Finite-time consensus of heterogeneous multi-agent systems with and without velocity measurements,” Systems & Control Letters, vol. 61, no. 8, pp. 871–878, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. P. Lin and W. Ren, “Constrained consensus in unbalanced networks with communication delays,” IEEE Transactions on Automatic Control, 2013. View at Publisher · View at Google Scholar
  17. P. Lin and W. Ren, “Distributed constrained consensus in the presence of unbalanced switching graphs and communication delays,” IEEE Conference on Decision and Control, vol. 51, pp. 2238–2243, 2012.
  18. K. Liu, G. Xie, W. Ren, and L. Wang, “Consensus for multi-agent systems with inherent nonlinear dynamics under directed topologies,” Systems & Control Letters, vol. 62, no. 2, pp. 152–162, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. P. Lin and W. Ren, “Distributed shortest distance consensus problem in multi-agent systems,” IEEE Conference on Decision and Control, vol. 51, pp. 4696–4701, 2012.
  20. Z. Li, W. Ren, X. Liu, and L. Xie, “Distributed consensus of linear multi-agent systems with adaptive dynamic protocols,” Automatica, vol. 49, no. 7, pp. 1986–1995, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  21. 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
  22. Y. G. Sun and L. Wang, “Consensus of multi-agent systems in directed networks with uniform time-varying delays,” IEEE Transactions on Automatic Control, vol. 54, no. 7, pp. 1607–1613, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  23. Y. Sun, “Average consensus in networks of dynamic agents with uncertain topologies and time-varying delays,” Journal of the Franklin Institute, vol. 349, no. 3, pp. 1061–1073, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  24. 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
  25. 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 · View at MathSciNet
  26. P. Lin and Y. Jia, “Multi-agent consensus with diverse time-delays and jointly-connected topologies,” Automatica, vol. 47, no. 4, pp. 848–856, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  27. P. Lin, K. Qin, H. Zhao, and M. Sun, “A new approach to average consensus problems with multiple time-delays and jointly-connected topologies,” Journal of the Franklin Institute, vol. 349, no. 1, pp. 293–304, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  28. Y. Gao, J. Ma, M. Zuo, T. Jiang, and J. Du, “Consensus of discrete-time second-order agents with time-varying topology and time-varying delays,” Journal of the Franklin Institute, vol. 349, no. 8, pp. 2598–2608, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  29. L. Moreau, “Stability of continuous-time distributed consensus algorithms,” in Proceedings of the 43rd IEEE Conference on Decision and Control (CDC '04), pp. 3998–4003, December 2004. View at Scopus
  30. F. Xiao and L. Wang, “Asynchronous consensus in continuous-time multi-agent systems with switching topology and time-varying delays,” IEEE Transactions on Automatic Control, vol. 53, no. 8, pp. 1804–1816, 2008. View at Publisher · View at Google Scholar · View at MathSciNet
  31. A. Papachristodoulou, A. Jadbabaie, and U. Münz, “Effects of delay in multi-agent consensus and oscillator synchronization,” IEEE Transactions on Automatic Control, vol. 55, no. 6, pp. 1471–1477, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  32. 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
  33. U. Münz, A. Papachristodoulou, and F. Allgöwer, “Delay robustness in non-identical multi-agent systems,” IEEE Transactions on Automatic Control, vol. 57, no. 6, pp. 1597–1603, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  34. 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
  35. V. Ugrinovskii, “Distributed robust filtering with H consensus of estimates,” Automatica, vol. 47, no. 1, pp. 1–13, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  36. Y. Sun and L. Wang, “H consensus of second-order multi-agent systems with asymmetric delays,” Systems & Control Letters, vol. 61, no. 8, pp. 857–862, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet