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Abstract and Applied Analysis
Volume 2012, Article ID 621060, 18 pages
http://dx.doi.org/10.1155/2012/621060
Research Article

Mean Square Consensus for Uncertain Multiagent Systems with Noises and Delays

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

Received 31 October 2011; Revised 12 January 2012; Accepted 12 January 2012

Academic Editor: Jinhu Lü

Copyright © 2012 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. 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
  2. Y. Hatano and M. Mesbahi, “Agreement over random networks,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 50, no. 11, pp. 1867–1872, 2005. View at Publisher · View at Google Scholar
  3. A. Jadbabaie, J. Lin, and A. S. Morse, “Coordination of groups of mobile autonomous agents using nearest neighbor rules,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 48, no. 6, pp. 988–1001, 2003. View at Publisher · View at Google Scholar
  4. L. Moreau, “Stability of multiagent systems with time-dependent communication links,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 50, no. 2, pp. 169–182, 2005. View at Publisher · View at Google Scholar
  5. R. Olfati-Saber and R. M. Murray, “Consensus problems in networks of agents with switching topology and time-delays,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 49, no. 9, pp. 1520–1533, 2004. View at Publisher · View at Google Scholar
  6. 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
  7. W. Ren and R. W. Beard, “Consensus seeking in multiagent systems under dynamically changing interaction topologies,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 50, no. 5, pp. 655–661, 2005. View at Publisher · View at Google Scholar
  8. 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
  9. Y. G. Sun and L. Wang, “Consensus of multi-agent systems in directed networks with uniform time-varying delays,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 54, no. 7, pp. 1607–1613, 2009. View at Publisher · View at Google Scholar
  10. M. Huang and J. H. Manton, “Coordination and consensus of networked agents with noisy measurements: stochastic algorithms and asymptotic behavior,” SIAM Journal on Control and Optimization, vol. 48, no. 1, pp. 134–161, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  11. M. Huang and J. H. Manton, “Stochastic consensus seeking with noisy and directed inter-agent communication: fixed and randomly varying topologies,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 55, no. 1, pp. 235–241, 2010. View at Publisher · View at Google Scholar
  12. 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
  13. T. Li and J.-F. Zhang, “Consensus conditions of multi-agent systems with time-varying topologies and stochastic communication noises,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 55, no. 9, pp. 2043–2057, 2010. View at Publisher · View at Google Scholar
  14. S. Liu, L. Xie, and H. Zhang, “Distributed consensus for multi-agent systems with delays and noises in transmission channels,” Automatica, vol. 47, no. 5, pp. 920–934, 2011. View at Publisher · View at Google Scholar
  15. Y. Chen, J. Lü, F. Han, and X. Yu, “On the cluster consensus of discrete-time multi-agent systems,” Systems & Control Letters, vol. 60, no. 7, pp. 517–523, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  16. J. Zhou, J.-A. Lu, and J. Lü, “Adaptive synchronization of an uncertain complex dynamical network,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 51, no. 4, pp. 652–656, 2006. View at Publisher · View at Google Scholar
  17. J. Lü and G. Chen, “A time-varying complex dynamical network model and its controlled synchronization criteria,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 50, no. 6, pp. 841–846, 2005. View at Publisher · View at Google Scholar
  18. H. Liu, J.-A. Lu, J. Lü, and D. J. Hill, “Structure identification of uncertain general complex dynamical networks with time delay,” Automatica, vol. 45, no. 8, pp. 1799–1807, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  19. Y. Chen, J. Lü, and X. Yu, “Robust consensus of multi-agent systems with time-varying delays in noisy environment,” Science China Technological Sciences, vol. 54, no. 8, pp. 2014–2023, 2011. View at Publisher · View at Google Scholar
  20. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, vol. 15 of SIAM Studies in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 1994.
  21. Y. Gu, S. Wang, Q. Li, Z. Cheng, and J. Qian, “On delay-dependent stability and decay estimate for uncertain systems with time-varying delay,” Automatica, vol. 34, no. 8, pp. 1035–1039, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  22. Y.-Y. Cao, Y.-X. Sun, and C. Cheng, “Delay-dependent robust stabilization of uncertain systems with multiple state delays,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 43, no. 11, pp. 1608–1612, 1998. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  23. A. N. Michel and R. K. Miller, Qualitative Analysis of Large Scale Dynamical Systems, vol. 134, Academic Press, New York, NY, USA, 1977.