Table of Contents Author Guidelines Submit a Manuscript
Mathematical Problems in Engineering
Volume 2015, Article ID 957028, 7 pages
http://dx.doi.org/10.1155/2015/957028
Research Article

Agreement of Networks of Discrete-Time Agents with Mixed Dynamics and Time Delays

School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China

Received 17 October 2015; Accepted 29 November 2015

Academic Editor: Peng Lin

Copyright © 2015 Xue Li 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. Y. Zheng, Y. Zhu, and L. Wang, “Consensus of heterogeneous multi-agent systems,” IET Control Theory & Applications, vol. 5, no. 16, pp. 1881–1888, 2011. View at Publisher · View at Google Scholar · View at Scopus
  2. 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, IEEE, December 2004. View at Scopus
  3. Y. Hong, L. Gao, D. 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 · View at Scopus
  4. 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
  5. H. Sayyaadi and M. R. Doostmohammadian, “Finite-time consensus in directed switching network topologies and time-delayed communications,” Scientia Iranica, vol. 18, no. 1, pp. 75–85, 2011. View at Google Scholar · View at Scopus
  6. 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 · View at Scopus
  7. 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 · View at Scopus
  8. W. Zhang, J. Liu, D. Zeng, and T. Yang, “Consensus analysis of continuous-time second-order multi-agent systems with nonuniform time-delays and switching topologies,” Asian Journal of Control, vol. 15, no. 5, pp. 1516–1523, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. 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 MathSciNet · View at Scopus
  10. P. Lin and W. Ren, “Constrained consensus in unbalanced networks with communication delays,” IEEE Transactions on Automatic Control, vol. 59, no. 3, pp. 775–781, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. 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 · View at Scopus
  12. B. Liu, H. Su, R. Li, D. Sun, and W. Hu, “Switching controllability of discrete-time multi-agent systems with multiple leaders and time-delays,” Applied Mathematics and Computation, vol. 228, pp. 571–588, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. P. Lin and Y. Jia, “Distributed rotating formation control of multi-agent systems,” Systems & Control Letters, vol. 59, no. 10, pp. 587–595, 2010. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Lipo, C. Xianbing, and Z. Hongbo, “Robust optimal coordination for multiagent systems with uncertainty and time-delay,” in Proceedings of the 3th International Conference on Computer and Net-Work Technology, pp. 403–409, 2011.
  15. M. Lipo and J. Yingmin, “H consensus of a class of high-order multi-agent systems with time-delay,” IET Control Theory and Application, vol. 5, no. 1, pp. 247–253, 2011. View at Google Scholar
  16. W. Zhang, D. Zeng, Y. Niu, and T. Chang, “Robust consensus of second-order multi-agent systems with nonuniform time-delays and switching topologies,” in Proceedings of the 19th International Conference on Methods and Models in Automation and Robotics (MMAR '14), pp. 758–763, IEEE, Miedzyzdroje, Poland, September 2014. View at Publisher · View at Google Scholar · View at Scopus
  17. P. Lin, W. Ren, and Y. Song, “Distributed multi-agent optimization subject to nonidentical constraints and communication delays,” Automatica, vol. 65, pp. 120–131, 2016. View at Publisher · View at Google Scholar
  18. 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
  19. 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 MathSciNet · View at Scopus
  20. S. Yi-Jie, Z. Guo-liang, and Z. Jing, “Consensus analysis for a class of heterogeneous multiagent systems with time delay based on frequency domain method,” Mathematical Problems in Engineering, vol. 2014, Article ID 248684, 7 pages, 2014. View at Publisher · View at Google Scholar
  21. 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 MathSciNet · View at Scopus
  22. W. Ren, R. W. Beard, and T. W. McLain, “Coordination variables and consensus building in multiple vehicle systems,” Cooperative Control, vol. 309, pp. 171–188, 2005. View at Google Scholar
  23. J. Wolfowitz, “Products of indecomposable, aperiodic, stochastic matrices,” Proceedings of the American Mathematical Society, vol. 14, no. 5, pp. 733–737, 1963. View at Publisher · View at Google Scholar · View at MathSciNet