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Articles

Generalised exponential consensus of the fractional-order nonlinear multi-agent systems via event-triggered control

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Pages 1244-1251 | Received 09 Apr 2018, Accepted 17 Mar 2019, Published online: 05 Apr 2019

References

  • Bagley, R. L., & Torvik, P. J. (1983). Fractional calculus – A different approach to the analysis of viscoelastically damped structures. Aiaa Journal, 21, 741–748. doi: 10.2514/3.8142
  • Cao, Y. C., Li, Y., Ren, W., & Chen, Y. Q. (2010). Distributed coordination of networked fractional-order systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 40, 362–370. doi: 10.1109/TSMCB.2009.2024647
  • Cao, Y., & Ren, W. (2010). Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping. Systems & Control Letters, 59, 233–240. doi: 10.1016/j.sysconle.2010.01.008
  • Cheng, T. H., Kan, Z., Klotz, J. R., & Shea, J. M. (2015). Decentralized event-triggered control of networked systems-part 1: Leader-follower consensus under switching topologies. American control conference (pp. 5438–5443), Palmer House Hilton, Chicago, IL, USA.
  • Cohen, I., Golding, I., Ron, I. G., & Ben-Jacob, E. (2001). Biofluid dynamics of lubricating bacteria. Mathematical Methods in the Applied Sciences, 24, 1429–1468. doi: 10.1002/mma.190
  • Dimarogonas, D. V., Frazzoli, E., & Johansson, K. H. (2012). Distributed event-triggered control for multi-agent systems. IEEE Transactions on Automatic Control, 57, 1291–1297. doi: 10.1109/TAC.2011.2174666
  • Duarte-Mermoud, M. A., Aguila-Camacho, N., Gallegos, J. A., & Castro-Linares, R. (2015). Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. Communications in Nonlinear Science and Numerical Simulation, 22(1-3), 650–659. doi: 10.1016/j.cnsns.2014.10.008
  • Garcia, E., Cao, Y., Yu, H., Antsaklis, P. J., & Casbeer, D. W. (2013). Decentralised event-triggered cooperative control with limited communication. International Journal of Control, 86(9), 1479–1488. doi: 10.1080/00207179.2013.787647
  • Guo, M., & Dimarogonas, D. V. (2013). Nonlinear consensus via continuous, sampled, and aperiodic updates. International Journal of Control, 86(4), 567–578. doi: 10.1080/00207179.2012.747735
  • Hu, W., Yang, C., Huang, T., & Gui, W. (2018). A distributed dynamic event-triggered control approach to consensus of linear multiagent systems with directed networks. IEEE Transactions on Cybernetics. doi:10.1109/TCYB.2018.2868778
  • Jadababaie, A., Lin, J., & Morse, A. S. (2003). Coordination of groups of mobile autonomous agents using nearest neighbour rules. IEEE Transactions on Automatic Control, 48, 988–1001. doi: 10.1109/TAC.2003.812781
  • Ji, Z., Wang, Z., Lin, H., & Wang, Z. (2009). Interconnection topologies for multi-agent coordination under leader-follower framework. Automatica, 45, 2857–2863. doi: 10.1016/j.automatica.2009.09.002
  • Liu, C. L., & Tian, Y. P. (2007). Consensus of multi-agent system with diverse communication delays. IEEE Chinese control conference (CCC) (pp. 726–730).
  • Liu, Q., Wang, Z., He, X., & Zhou, D. H. (2018). Event-triggered resilient filtering with measurement quantization and random sensor failures: Monotonicity and convergence. Automatica, 94, 458–464. doi: 10.1016/j.automatica.2018.03.031
  • Ni, W., & Cheng, D. Z. (2010). Leader-following consensus of multi-agent systems under fixed and switching topologies. Systems & Control Letters, 59, 209–217. doi: 10.1016/j.sysconle.2010.01.006
  • Olfati-Saber, R., Fax, A., & Murray, R. M. (2007). Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 95, 215–233. doi: 10.1109/JPROC.2006.887293
  • Olfati-Saber, R., & Murray, R. M. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49, 1520–1533. doi: 10.1109/TAC.2004.834113
  • Podlubny, I. (1999). Fractional differential equations. New York, NY: Academic Press.
  • Ren, W., & Atkins, E. (2007). Distributed multi-vehicle coordinated control via local information exchange. International Journal of Robust and Nonlinear Control, 17, 1002–1033. doi: 10.1002/rnc.1147
  • Shen, J., Cao, J., & Lu, J. (2012). Consensus of fractional-order systems with non-uniform input and communication delays. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering, 226(2), 271–283.
  • Sun, W., Li, Y., Li, C., & Chen, Y. (2011). Convergence speed of a fractional-order consensus algorithm over undirected scale-free network. Asian Journal of Control, 13, 936–946. doi: 10.1002/asjc.390
  • Wang, F., & Yang, Y. (2016). Leader-following consensus of nonlinear fractional-order multi-agent systems via event-triggered control. International Journal of Systems Science, 48(3), 571–577. doi: 10.1080/00207721.2016.1193258
  • Xie, D., Xu, S., Li, Z., & Zou, Y. (2015). Event-triggered consensus control for second-order multi-agent systems. IET Control Theory & Applications, 9(5), 667–680. doi: 10.1049/iet-cta.2014.0219
  • Yu, Z., Jiang, H., & Hu, C. (2015). Leader-following consensus of fractional-order multi-agent systems under fixed topology. Neurocomputing, 149, 613–620. doi: 10.1016/j.neucom.2014.08.013
  • Zhou, B., Liao, X., Huang, T., & Chen, G. (2015). Leader-following exponential consensus of general linear multi-agent systems via event-triggered control with combinational measurements. Applied Mathematics Letters, 40, 35–39. doi: 10.1016/j.aml.2014.09.009
  • Zhu, W., Chen, B., & Yang, J. (2017). Consensus of fractional-order multi-agent systems with input time delay. Fractional Calculus and Applied Analysis, 20(1), 52–70. doi: 10.1515/fca-2017-0003

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