Table of Contents Author Guidelines Submit a Manuscript
Abstract and Applied Analysis
Volume 2013, Article ID 412189, 7 pages
http://dx.doi.org/10.1155/2013/412189
Research Article

Dynamic Average Consensus and Consensusability of General Linear Multiagent Systems with Random Packet Dropout

1School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China
2Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China

Received 10 June 2013; Revised 19 August 2013; Accepted 27 August 2013

Academic Editor: Jianquan Lu

Copyright © 2013 Wen-Min Zhou and Jiang-Wen Xiao. 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. S. Kar and J. M. F. Moura, “Distributed consensus algorithms in sensor networks: quantized data and random link failures,” IEEE Transactions on Signal Processing, vol. 58, no. 3, pp. 1383–1400, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  2. N. A. Lynch, Distributed Algorithms, Morgan Kaufmann, San Francisco, Calif, USA, 1997. View at MathSciNet
  3. 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
  4. R. S. Dong and Z. Y. Geng, “Consensus based formation control laws for systems on Lie groups,” Systems & Control Letters, vol. 62, no. 2, pp. 104–111, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  5. 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
  6. Y. Hatano and M. Mesbahi, “Agreement over random networks,” IEEE Transactions on Automatic Control, vol. 50, no. 11, pp. 1867–1872, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  7. Y. Zhang and Y.-P. Tian, “Consentability and protocol design of multi-agent systems with stochastic switching topology,” Automatica, vol. 45, no. 5, pp. 1195–1201, 2009. View at Publisher · View at Google Scholar · View at MathSciNet
  8. F. Sun, J. Chen, Z.-H. Guan, L. Ding, and T. Li, “Leader-following finite-time consensus for multi-agent systems with jointly-reachable leader,” Nonlinear Analysis: Real World Applications, vol. 13, no. 5, pp. 2271–2284, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  9. P. Lin, Z. Li, Y. Jia, and M. Sun, “High-order multi-agent consensus with dynamically changing topologies and time-delays,” IET Control Theory & Applications, vol. 5, no. 8, pp. 976–981, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  10. Z. K. Li, Z. S. Duan, G. R. Chen, and L. Hang, “Consensus of multi-agent systems and synchronization of complex networks: a unified viewpoint,” IEEE Transactions on Circuits and Systems, vol. 57, no. 1, pp. 213–224, 2010. View at Google Scholar
  11. J. Xu, L. H. Xie, T. Li, and K. Y. Lum, “Consensus of multi-agent systems with general linear dynamics via dynamic output feedback control,” IET Control Theory Applications, vol. 7, no. 1, pp. 108–115, 2013. View at Google Scholar
  12. X. L. Xu, S. Y. Cheng, W. Huang, and L. X. Gao, “Leader-following consensus of discrete-time multi-agent systems with observer-based protocols,” Neurocomputing, vol. 118, pp. 334–341, 2013. View at Google Scholar
  13. Y. F. Su and J. Huang, “Two consensus problems for discrete-time multi-agent systems with switching network topology,” Automatica, vol. 48, no. 9, pp. 1988–1997, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  14. 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 MathSciNet
  15. Z. H. Wu and H. J. Fang, “Improvement for consensus performance of multi-agent systems based on delayed-state-derivative feedback,” Journal of Systems Engineering and Electronics, vol. 23, no. 1, pp. 137–144, 2012. View at Publisher · View at Google Scholar · View at Scopus
  16. Z. H. Wu, L. Peng, L. B. Xie, and J. W. Wen, “Stochastic bounded consensus tracking of leader-follower multi-agent systems with measurement noises based on sampled-data with small sampling delay,” Physica A, vol. 392, no. 4, pp. 918–928, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  17. W. Zhu, “Consensus of multiagent systems with switching jointly reachable interconnection and time delays,” IEEE Transactions on Systems, Man, and Cybernetics A, vol. 42, no. 2, pp. 348–358, 2012. View at Publisher · View at Google Scholar · View at Scopus
  18. Y. G. 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 MathSciNet
  19. 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
  20. F. L. Sun, Z.-H. Guan, X.-S. Zhan, and F.-S. Yuan, “Consensus of second-order and high-order discrete-time multi-agent systems with random networks,” Nonlinear Analysis: Real World Applications, vol. 13, no. 5, pp. 1979–1990, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  21. Y. Zhang and Y.-P. Tian, “Consensus of data-sampled multi-agent systems with random communication delay and packet loss,” IEEE Transactions on Automatic Control, vol. 55, no. 4, pp. 939–943, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  22. Y. Zhang and Y.-P. Tian, “Maximum allowable loss probability for consensus of multi-agent systems over random weighted lossy networks,” IEEE Transactions on Automatic Control, vol. 57, no. 8, pp. 2127–2132, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  23. C. Z. Zhang, G. Feng, H. J. Gao, and Y. Zhao, “State feedback controller design of networked control systems with multiple packet dropouts,” in Proceedings of the 29th Chinese Control Conference (CCC '10), pp. 5839–5844, July 2010. View at Scopus
  24. F. Z. Zhang, Matrix Theory, Springer, New York, NY, USA, 1999. View at MathSciNet