548
Views
6
CrossRef citations to date
0
Altmetric
Research Article

Prescribed-time bipartite consensus for signed directed networks on time scales

&
Pages 508-516 | Received 22 Apr 2021, Accepted 05 Nov 2021, Published online: 25 Nov 2021

References

  • Altafini, C. (2013). Consensus problems on networks with antagonistic interactions. IEEE Transactions on Automatic Control, 58(4), 935–946. https://doi.org/10.1109/TAC.2012.2224251
  • Babenko, S., Defoort, M., Djemai, M., & Nicaise, S. (2018). On the consensus tracking investigation for multi-agent systems on time scale via matrix-valued Lyapunov functions. Automatica, 97(1), 316–326. https://doi.org/10.1016/j.automatica.2018.08.003
  • Babenko, S., Defoort, M., Djemai, M., & Nicaise, S. (2019). Distributed leader-follower consensus for a class of semilinear second-order multiagent systems using time scale theory. International Journal Robust Nonlinear Control, 29(2), 433–450. https://doi.org/10.1002/rnc.v29.2
  • Bohner, M., & Peterson, A. (2001). Dynamic equations on time scales: An introduction with applications. Birkhäuser.
  • Cao, Y., Yu, W., Ren, W., & Chen, G. (2013). An overview of recent progress in the study of distributed multi-agent coordination. IEEE Transactions on Industrial Informatics, 9(1), 427–438. https://doi.org/10.1109/TII.2012.2219061
  • Chen, X., Li, J., Wu, Z., & Yu, J. (2019). Finite-time consensus protocol for stochastic multi-agent systems. IET Control Theory & Applications, 13(6), 755–762. https://doi.org/10.1049/cth2.v13.6
  • Chen, X., Yu, H., & Hao, F. (in press). Prescribed-time event-triggered bipartite consensus of multiagent systems. IEEE Transactions on Cybernetics. https://doi.org/10.1109/TCYB.2020.3004572
  • Girejko, E., & Malinowska, A. B. (2019). Leader-following consensus for networks with single- and double-integrator dynamics. Nonlinear Analysis: Hybrid Systems, 31(6), 302–316. https://doi.org/10.1016/j.nahs.2018
  • Gong, X., Cui, Y., Shen, J., Shu, Z., & Huang, T. (2021). Distributed prescribed-time interval bipartite consensus of multi-agent systems on directed graphs: Theory and experiment. IEEE Transactions on Network Science and Engineering, 8(1), 613–624. https://doi.org/10.1109/TNSE.2020.3047232
  • Guo, X., Liang, J., & Lu, J. (2018). Asymmetric bipartite consensus over directed networks with antagonistic interactions. IET Control Theory & Applications, 12(17), 2295–2301. https://doi.org/10.1049/cth2.v12.17
  • Horn, R. A., & Johnson, C. R. (1990). Matrix analysis. Cambridge University Press.
  • Li, S., Du, H., & Lin, X. (2011). Finite-time consensus algorithm for multi-agent systems with double-integrator dynamics. Automatica, 47(8), 1706–1712. https://doi.org/10.1016/j.automatica.2011.02.045
  • Liu, X., & Chen, T. (2018). Finite-time and fixed-time cluster synchronization with or without pinning control. IEEE Transactions on Cybernetics, 48(1), 240–252. https://doi.org/10.1109/TCYB.2016.2630703
  • Liu, X., & Zhang, K. (2016). Synchronization of linear dynamical networks on time scales: Pinning control via delayed impulses. Automatica, 72(3), 147–152. https://doi.org/10.1016/j.automatica.2016.06.001
  • Lu, J., Wang, Y., Shi, X., & Cao, J (2021). Finite-time bipartite consensus for multiagent systems under detail-balanced antagonistic interactions. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 51(6), 3867–3875. https://doi.org/10.1109/TSMC.2019.2938419
  • Meng, D., Du, M., & Jia, Y. (2016). Interval bipartite consensus of networked agents associated with signed digraphs. IEEE Transactions on Automatic Control, 61(12), 3755–3770. https://doi.org/10.1109/TAC.2016.2528539
  • Meng, D., Jia, Y., & Du, J. (2016). Finite-time consensus for multiagent systems with cooperative and antagonistic interactions. IEEE Transactions on Neural Networks and Learning Systems, 27(4), 762–770. https://doi.org/10.1109/TNNLS.2015.2424225
  • Ning, B., & Han, Q.-L. (2019). Prescribed finite-time consensus tracking for multiagent systems with nonholonomic chained-form dynamics. IEEE Transactions on Automatic Control, 64(4), 1686–1693. https://doi.org/10.1109/TAC.9
  • Olfati-Saber, R., & R. M. Murray (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49(9), 1520–1533. https://doi.org/10.1109/TAC.2004.834113
  • Poulsen, D., Defoort, M., & Djemai, M. (2019). Mean square consensus of double-integrator multi-agent systems under intermittent control: A stochastic time scale approach. Journal of the Franklin Institute, 356(16), 9076–9094. https://doi.org/10.1016/j.jfranklin.2019.07.011
  • Ren, W., & Beard, R. W. (2005). Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 50(5), 655–661. https://doi.org/10.1109/TAC.2005.846556
  • Sánchez-Torres, J. D., Muñoz-Vázquez, A. J., Defoort, M., Aldana-López, R., & Gómez-Gutiérrez, D. (2020). Predefined-time integral sliding mode control of second-order systems. International Journal of Systems Science, 51(16), 3425–3435. https://doi.org/10.1080/00207721.2020.1815893
  • Schmeidel, E., Ostaszewska, U., & Zdanowicz, M. (2019). Emergence of consensus of multi-agents systems on time scales. Miskolc Mathematical Notes, 20(2), 1201–1214. https://doi.org/10.18514/MMN.2019.2704
  • Shams, A., Rehan, M., & Tufail, M. (in press). H∞ bipartite consensus of nonlinear multi-agent systems over a directed signed graph with a leader of non-zero input. International Journal of Control. https://doi.org/10.1080/00207179.2021.1888157
  • Shen, J., & Cao, J. (2012). Consensus of multi-agent systems on time scales. IMA Journal of Mathematical Control and Information, 29(4), 507–517. https://doi.org/10.1093/imamci/dns006
  • Song, Y. D., Wang, Y. J., Holloway, J., & Krstic, M. (2017). Time-varying feedback for regulation of normal-form nonlinear systems in prescribed finite time. Automatica, 83(5), 243–251. https://doi.org/10.1016/j.automatica.2017.06.008
  • Taousser, F., Defoort, M., & Djemai, M. (2016). Consensus for linear multi-agent system with intermittent information transmissions using the time-scale theory. International Journal of Control, 89(1), 210–220. https://doi.org/10.1080/00207179.2015.1065544
  • Wang, L., & Xiao, F. (2010). Finite-time consensus problems for networks of dynamic agents. IEEE Transactions on Automatic Control, 55(4), 950–955. https://doi.org/10.1109/TAC.2010.2041610
  • Wang, Y., Song, Y., Hill, D. J., & Krstic, M. (2019). Prescribed-time consensus and containment control of networked multiagent systems. IEEE Transactions on Cybernetics, 49(4), 1138–1147. https://doi.org/10.1109/TCYB.6221036
  • Xiao, Q., & Huang, Z. (2016). Consensus of multi-agent system with distributed control on time scales. Applied Mathematics and Computation, 277(2), 54–71. https://doi.org/10.1016/j.amc.2015.12.028
  • Yang, S., Cao, J., & Lu, J. (2012). A new protocol for finite-time consensus of detail-balanced multi-agent networks. Chaos: An Interdisciplinary Journal of Nonlinear Science, 22(4), 043134. https://doi.org/10.1063/1.4768662
  • Yu, J., Yu, S., Li, J., & Yan, Y. (2019). Fixed-time stability theorem of stochastic nonlinear systems. International Journal of Control, 92(9), 2194–2200. https://doi.org/10.1080/00207179.2018.1430900
  • Yu, J., Yu, S., & Yan, Y. (2020). Fixed-time stabilization of nonlinear system and its application into general neural networks. IEEE Access, 8, 58171–58179. https://doi.org/10.1109/Access.6287639
  • Yu, J., Yu, S., & Yan, Y. (2021). Fixed-time stability of stochastic nonlinear systems and its application into stochastic multi-agent systems. IET Control Theory & Applications, 15(1), 126–135. https://doi.org/10.1049/cth2.v15.1
  • Yu, J., Yu, J., Zhang, P., Yang, T., & Chen, X. (2021). A unified framework design for finite-time bipartite consensus of multi-agent systems. IEEE Access, 9, 48971–48979. https://doi.org/10.1109/ACCESS.2021.3069337
  • Zuo, Z. (2015). Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 54(3), 305–309. https://doi.org/10.1016/j.automatica.2015.01.021
  • Zuo, Z., & Tie, L. (2014). A new class of finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Control, 87(2), 363–370. https://doi.org/10.1080/00207179.2013.834484

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.