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Original Articles

Finite-time consensus for heterogeneous multi-agent systems with mixed-order agents

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Pages 1961-1970 | Received 04 Sep 2012, Accepted 08 Jan 2013, Published online: 08 Oct 2013

References

  • Abdessameud, A., and Tayebi, A. (2010), ‘On Consensus Algorithms for Double-Integrator Dynamics Without Velocity Measurements and With Input Constraints’, Systems and Control Letters, 59(12), 812–821.
  • Amritkar, R., and Jalan, S. (2003), ‘Self-Organized and Driven Phase Synchronization in Coupled Map Networks’, Physica A, 321, 220–225.
  • Corts, J. (2008) ‘Distributed Algorithms for Reaching Consensus on General Functions’, Automatica, 44, 726–737.
  • Delvenne, J.C., Carli, R., and Zampieri, S. (2009), ‘Optimal Strategies in the Average Consensus Problem’, Systems and Control Letters, 58, 759–765.
  • Hui, Q., and Haddad, W.M. (2008), ‘Distributed Nonlinear Control Algorithms for Network Consensus’, Automatica, 44, 2375–2381.
  • Jiang, F., and Wang, L. (2009), ‘Finite-Time Information Consensus for Multi-Agent Systems With Fixed and Switching Topologies’, Physica D, 23, 1550–1560.
  • Lee, D.J., and Spong, M.K. (2006), ‘Agreement With Non-Uniform Information Delays’, in Proceedings of the American Control Conference, pp. 756–761.
  • Lin, P., and Jia, Y. (2008), ‘Average Consensus in Networks of Multi-Agents With Both Switching Topology and Coupling Time-Delay’, Physica A, 387, 303–313.
  • Liu, C.L., and Liu, F. (2011), ‘Stationary Consensus of Heterogeneous Multi-Agent Systems With Bounded Communication Delays’, Automatica, 47, 2130–2133.
  • Lu, J., Ho D.W.C., and Kurths, J. (2009), ‘Consensus Over Directed Static Networks With Arbitrary Finite Communication Delays’, Physical Review E, 80, 066121(1)–066121(7).
  • Lynch, N.A. (1997), Distributed Algorithms, San Francisco, CA: Morgan Kaufmann Publishers, Inc.
  • Nosrati, S., and Shafiee, M. (2007), ‘Time-Delay Dependent Stability Robustness of Small-World Protocols for Fast Distributed Consensus Seeking’, in the 5th International Symposium on Modeling and Optimization in Mobile, Ad Hoc and Wireless Networks and Workshops, pp. 1–9.
  • Olfati-Saber, R., and Murray, R.M. (2004), ‘Consensus Problems in Networks of Agents With Switching Topology and Time-Delays’, IEEE Transactions Automotic Control, 49(9), 1520–1533.
  • Qin, J., Zheng, W., and Gao, H. (2011), ‘Consensus of Multiple Second-Order Vehicles With a Time-Varying Reference Signal Under Directed Topology’, Automatica, 47, 1983–1991.
  • Qing, H., Haddad, W.M., and Bhat, S.P. (2010), ‘Finite-Time Semistability, Filippov Systems, and Consensus Protocols for Nonlinear Dynamical Networks With Switching Topologies’, Nonlinear Analysis: Hybrid Systems, 4(3), 557–573.
  • Ren, W., and Atkins, E. (2007), ‘Distributed Multi-Vehicle Coordinated Control via Local Information Exchange’, International Journal of Robust and Nonlinear Control, 17, 1002–1033.
  • Ren, W., and Beard, R.W. (2005), ‘Consensus Seeking in Multi-Agent Systems Under Dynamically Changing Interaction Topologies’, IEEE Transactions Automotic Control, 50(5), 655–661.
  • Rosier, L. (1992), ‘Homogeneous Lyapunov Function for Homogeneous Continuous Vector Field’, Systems and Control Letters, 19, 467–473.
  • Rouche, N., Habets, P., and Laloy, M. (1977), Stability Theory by Liapunov’s Direct Method, New York: Springer-Verlag.
  • Su, H., Wang, X., and Lin, Z. (2009), ‘Flocking of Multi-Agents With a Virtual Leader’, IEEE Transactions Automotic Control, 54(2), 293–307.
  • Sun, F.L., Guan, Z.H., Ding L., and Wang, Y.W. (2013), ‘Mean Square Average-Consensus for Multi-Agent Systems With Measurement Noise and Time Delay’, International Journal of Systems Science, 44, 995–1005.
  • Sun, Y., Wang, L., and Xie, G. (2008), ‘Average Consensus in Networks of Dynamic Agents With Switching Topologies and Multiple Time-Varying Delays’, Systems and Control Letters, 57, 175–183.
  • Sundaram, S., and Hadjicostis, C.N. (2007), ‘Finite-Time Distributed Consensus in Graphs With Time-Invariant Topologies’, in Proceedings American Control Conference, pp. 711–716.
  • Wang, X.L., and Hong, Y. (2010), ‘Distributed Finite-Time χ-Consensus Algorithms for Multi-Agent Systems With Variable Coupling Topology’, Journal of System Science and Complex, 23, 209–218.
  • Wang, L., and Xiao, F. (2010), ‘Finite-Time Consensus Problems for Networks of Dynamic Agents’, IEEE Transactions Automotic Control, 55(4), 950–955.
  • Wen, G.H., Duan, Z.H., Yu, W.W., and Chen, G. (2012), ‘Consensus in Multi-Agent Systems With Communication Constraints’, International Journal of Robust and Nonlinear Control, 22, 170–182.
  • Wu, Q. J., Zhou, J., and Xiang, L. (2012), ‘Impulsive Consensus Seeking in Directed Networks of Multi-Agent Systems With Communication Time-Delays’, International Journal of Systems Science, 43, 1479–1491.
  • Zhou, J., and Wang, Q. (2009), ‘Convergence Speed in Distributed Consensus Over Dynamically Switching Random Networks’, Automatica, 45(6), 1455–1461.
  • Zhu, M.H., and Martnez, S. (2010), ‘Discrete-Time Dynamic Average Consensus’, Automatica, 46, 322–329.

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