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Abstract and Applied Analysis
Volume 2014, Article ID 689070, 9 pages
http://dx.doi.org/10.1155/2014/689070
Research Article

Bipartite Consensus Control of Multiagent Systems on Coopetition Networks

School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China

Received 12 April 2014; Accepted 9 June 2014; Published 19 June 2014

Academic Editor: Norio Yoshida

Copyright © 2014 Jiangping Hu. 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. J. H. Holland, Emergence: From Chaos to Order, Helix Books, Addison-Wesley, Reading, Mass, USA, 1998.
  2. M. Mitchell and M. Newman, “Complex systems theory and evolution,” in Encyclopedia of Evolution, M. Pagel, Ed., Oxford University Press, New York, NY, USA, 2002. View at Google Scholar
  3. E. Bonabeau, M. Dorigo, and G. Theraulaz, Swarm Intelligence: From Natural to Artificial System, Oxford University Press, New York, NY, USA, 1999.
  4. C. Castellano, S. Fortunato, and V. Loreto, “Statistical physics of social dynamics,” Reviews of Modern Physics, vol. 81, no. 2, pp. 591–646, 2009. View at Publisher · View at Google Scholar · View at Scopus
  5. M. H. Degroot, “Reaching a consensus,” Journal of the American Statistical Association, vol. 69, no. 345, pp. 118–121, 1974. View at Publisher · View at Google Scholar
  6. R. E. Mirollo and S. H. Strogatz, “Synchronization of pulse-coupled biological oscillators,” SIAM Journal on Applied Mathematics, vol. 50, no. 6, pp. 1645–1662, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. Y. Yang, D. V. Dimarogonas, and X. Hu, “Opinion consensus of modified Hegselmann-Krause models,” Automatica, vol. 50, no. 2, pp. 622–627, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  8. Z. Néda, E. Ravasz, Y. Brechet, T. Vicsek, and A.-L. Barabási, “The sound of many hands clapping,” Nature, vol. 403, pp. 849–850, 2000. View at Publisher · View at Google Scholar · View at Scopus
  9. 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
  10. L. M. Pecora and T. L. Carroll, “Synchronization in chaotic systems,” Physical Review Letters, vol. 64, no. 8, pp. 821–824, 1990. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  11. Z. Li, Z. Duan, G. Chen, and L. Huang, “Consensus of multiagent systems and synchronization of complex networks: a unified viewpoint,” IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 1, pp. 213–224, 2010. View at Publisher · View at Google Scholar · View at MathSciNet
  12. Y. Tang and W. K. Wong, “Distributed synchronization of coupled neural networks via randomly occurring control,” IEEE Transactions on Neural Networks and Learning Systems, vol. 24, no. 3, pp. 435–447, 2013. View at Google Scholar
  13. Y. Cao, W. Yu, W. Ren, and G. Chen, “An overview of recent progress in the study of distributed multi-agent coordination,” IEEE Transactions on Industrial Informatics, vol. 9, no. 1, pp. 427–438, 2013. View at Publisher · View at Google Scholar · View at Scopus
  14. W. Yu, G. Chen, J. Lü, and J. Kurths, “Synchronization via pinning control on general complex networks,” SIAM Journal on Control and Optimization, vol. 51, no. 2, pp. 1395–1416, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control: Theory and Applications, Springer, Berlin, Germany, 2008.
  16. Z. Lin, B. Francis, and M. Maggiore, “Necessary and sufficient graphical conditions for formation control of unicycles,” IEEE Transactions on Automatic Control, vol. 50, no. 1, pp. 121–127, 2005. View at Publisher · View at Google Scholar · View at MathSciNet
  17. J. Hu and Y. Hong, “Leader-following coordination of multi-agent systems with coupling time delays,” Physica A: Statistical Mechanics and Its Applications, vol. 374, no. 2, pp. 853–863, 2007. View at Publisher · View at Google Scholar · View at Scopus
  18. G. Wen, Z. Li, Z. Duan, and G. Chen, “Distributed consensus control for linear multi-agent systems with discontinuous observations,” International Journal of Control, vol. 86, no. 1, pp. 95–106, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  19. W. Riker, The Theory of Political Coalitions, Yale University Press, New Haven, Conn, USA, 1962.
  20. A. Ware, The Dynamics of Two-Party Politics: Party Structures and the Management of Competition, Comparative Politics, Oxford University Press, Oxford, UK, 2009.
  21. C.-M. Kim, S. Rim, W.-H. Kye, J.-W. Ryu, and Y.-J. Park, “Anti-synchronization of chaotic oscillators,” Physics Letters A, vol. 320, no. 1, pp. 39–46, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  22. J. Hu, S. Chen, and L. Chen, “Adaptive control for anti-synchronization of Chua's chaotic system,” Physics Letters A, vol. 339, no. 6, pp. 455–460, 2005. View at Publisher · View at Google Scholar · View at Scopus
  23. E. Ising, “Beitrag zur theorie des ferromagnetismus,” Zeitschrift für Physik, vol. 31, no. 1, pp. 253–258, 1925. View at Publisher · View at Google Scholar · View at Scopus
  24. F. Harary, “On the notion of balance of a signed graph,” The Michigan Mathematical Journal, vol. 2, no. 2, pp. 143–146, 1953. View at Google Scholar · View at MathSciNet
  25. C. Altafini, “Dynamics of opinion forming in structurally balanced social networks,” PLoS ONE, vol. 7, no. 6, Article ID e38135, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. C. Altafini, “Consensus problems on networks with antagonistic interactions,” IEEE Transactions on Automatic Control, vol. 58, no. 4, pp. 935–946, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  27. J. Hu and W. X. Zheng, “Emergent collective behaviors on coopetition networks,” Physics Letters A, vol. 378, no. 26-27, pp. 1787–1796, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  28. S. Wasserman and K. Faust, Social Network Analysis: Methods and Applications, Cambridge University Press, Cambridge, UK, 1994.
  29. L. M. Pecora and T. L. Carroll, “Master stability functions for synchronized coupled systems,” Physical Review Letters, vol. 80, no. 10, pp. 2109–2112, 1998. View at Google Scholar · View at Scopus