Table of Contents Author Guidelines Submit a Manuscript
Journal of Control Science and Engineering
Volume 2017, Article ID 9489431, 7 pages
https://doi.org/10.1155/2017/9489431
Research Article

Second-Order Containment Control of Multiagent Systems in the Presence of Uncertain Topologies with Time-Varying Delays

1College of Computer and Control Engineering, Nankai University, Tianjin 300353, China
2Tianjin Key Laboratory of Intelligent Robotics, Nankai University, Tianjin 300353, China
3College of Information and Electrical Engineering, Ludong University, Yantai 264025, China

Correspondence should be addressed to Zhongxin Liu; nc.ude.iaknan@xhzl

Received 30 September 2016; Revised 1 December 2016; Accepted 18 December 2016; Published 10 January 2017

Academic Editor: Xian Zhang

Copyright © 2017 Fuyong Wang 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. Z.-X. Liu and Z.-Q. Chen, “Discarded consensus of network of agents with state constraint,” IEEE Transactions on Automatic Control, vol. 57, no. 11, pp. 2869–2874, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  2. H.-Y. Yang, L. Guo, and H.-L. Zou, “Robust consensus of multi-agent systems with time-delays and exogenous disturbances,” International Journal of Control, Automation and Systems, vol. 10, no. 4, pp. 797–805, 2012. View at Publisher · View at Google Scholar · View at Scopus
  3. Y. Liu, H. Min, S. Wang, Z. Liu, and S. Liao, “Distributed adaptive consensus for multiple mechanical systems with switching topologies and time-varying delay,” Systems & Control Letters, vol. 64, no. 1, pp. 119–126, 2014. View at Publisher · View at Google Scholar · View at Scopus
  4. M. Diao, Z. Duan, and G. Wen, “Consensus tracking of linear multi-agent systems under networked observability conditions,” International Journal of Control, vol. 87, no. 8, pp. 1478–1486, 2014. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  5. S. Su and Z. Lin, “Distributed consensus control of multi-agent systems with higher order agent dynamics and dynamically changing directed interaction topologies,” Institute of Electrical and Electronics Engineers. Transactions on Automatic Control, vol. 61, no. 2, pp. 515–519, 2016. View at Google Scholar · View at MathSciNet
  6. G. Notarstefano, M. Egerstedt, and M. Haque, “Containment in leader-follower networks with switching communication topologies,” Automatica, vol. 47, no. 5, pp. 1035–1040, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. Y. Cao, W. Ren, and M. Egerstedt, “Distributed containment control with multiple stationary or dynamic leaders in fixed and switching directed networks,” Automatica, vol. 48, no. 8, pp. 1586–1597, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. Z. Li, W. Ren, X. Liu, and M. Fu, “Distributed containment control of multi-agent systems with general linear dynamics in the presence of multiple leaders,” International Journal of Robust and Nonlinear Control, vol. 23, no. 5, pp. 534–547, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  9. Z. Liu, Q. Jin, and Z. Chen, “Distributed containment control for bounded unknown second-order nonlinear multi-agent systems with dynamic leaders,” Neurocomputing, vol. 168, pp. 1138–1143, 2015. View at Publisher · View at Google Scholar · View at Scopus
  10. 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 · View at Scopus
  11. D. Han and G. Chesi, “Robust discrete-time consensus of multi-agent systems with uncertain interaction,” in Proceedings of the IEEE International Conference on Control Applications (CCA '12), pp. 1136–1141, October 2012. View at Publisher · View at Google Scholar · View at Scopus
  12. Y. Shang, “Average consensus in multi-agent systems with uncertain topologies and multiple time-varying delays,” Linear Algebra and Its Applications, vol. 459, pp. 411–429, 2014. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. Y. Shang, “Consensus seeking over Markovian switching networks with time-varying delays and uncertain topologies,” Applied Mathematics and Computation, vol. 273, pp. 1234–1245, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  14. H. J. Savino, C. R. P. dos Santos, F. O. Souza, L. C. A. Pimenta, M. de Oliveira, and R. M. Palhares, “Conditions for consensus of multi-agent systems with time-delays and uncertain switching topology,” IEEE Transactions on Industrial Electronics, vol. 63, no. 2, pp. 1258–1267, 2016. View at Publisher · View at Google Scholar · View at Scopus
  15. Q. Ma and G. Miao, “Distributed containment control of linear multi-agent systems,” Neurocomputing, vol. 133, pp. 399–403, 2014. View at Publisher · View at Google Scholar · View at Scopus
  16. F.-Y. Wang, H.-Y. Yang, and F.-J. Han, “Flocking motion of dynamic networked systems with multiple leaders,” Acta Electronica Sinica, vol. 44, no. 7, pp. 1751–1756, 2016. View at Publisher · View at Google Scholar · View at Scopus
  17. K. Liu, G. Xie, and L. Wang, “Containment control for second-order multi-agent systems with time-varying delays,” Systems & Control Letters, vol. 67, no. 1, pp. 24–31, 2014. View at Publisher · View at Google Scholar · View at Scopus
  18. F. Y. Wang, H. Y. Yang, and F. J. Han, “Containment control of second-order multi-agent systems with jointly-connected topologies and varying delays,” in Proceedings of the 2015 Chinese Intelligent Systems Conference, vol. 2 of Lecture Notes in Electrical Engineering, pp. 45–53, Springer, Berlin, Germany, 2016. View at Publisher · View at Google Scholar
  19. J. Chen, Z.-H. Guan, C. Yang, T. Li, D.-X. He, and X.-H. Zhang, “Distributed containment control of fractional-order uncertain multi-agent systems,” Journal of the Franklin Institute, vol. 353, no. 7, pp. 1672–1688, 2016. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. F. Wang, H. Yang, S. Zhang, and F. Han, “Containment control for first-order multi-agent systems with time-varying delays and uncertain topologies,” Communications in Theoretical Physics, vol. 66, no. 2, pp. 249–255, 2016. View at Publisher · View at Google Scholar
  21. 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
  22. Y. Cao, D. Stuart, W. Ren, and Z. Meng, “Distributed containment control for multiple autonomous vehicles with double-integrator dynamics: algorithms and experiments,” IEEE Transactions on Control Systems Technology, vol. 19, no. 4, pp. 929–938, 2011. View at Publisher · View at Google Scholar · View at Scopus
  23. Z. Meng, W. Ren, and Z. You, “Distributed finite-time attitude containment control for multiple rigid bodies,” Automatica, vol. 46, no. 12, pp. 2092–2099, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. Y. Cao and W. Ren, “Containment control with multiple stationary or dynamic leaders under a directed interaction graph,” in Proceedings of the 48th IEEE Conference on Decision and Control, 2009 Held Jointly with the 2009 28th Chinese Control Conference (CDC/CCC '09), pp. 3014–3019, Shanghai, China, December 2009. View at Publisher · View at Google Scholar
  25. 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 MathSciNet
  26. I. R. Petersen and C. V. Hollot, “A Riccati equation approach to the stabilization of uncertain linear systems,” Automatica, vol. 22, no. 4, pp. 397–411, 1986. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  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 MathSciNet · View at Scopus