62
Views
1
CrossRef citations to date
0
Altmetric
Research Articles

Bipartite consensus tracking of second-order fractional-order multi-agent systems on directed signed graphs

&
Pages 1755-1771 | Received 08 Sep 2023, Accepted 28 Jan 2024, Published online: 02 Mar 2024

References

  • Akoglu, L. (2014). Quantifying political polarity based on bipartite opinion networks. In International Conference on Weblogs and Social Media. The AAAI Press.
  • Alexander, R. D. (1974). The evolution of social behavior. Annual Review of Ecology and Systematics, 5(1), 325–383. https://doi.org/10.1146/ecolsys.1974.5.issue-1
  • Al'pin, Y., & Koreshkov, N. (2000). On the simultaneous triangulability of matrices. Mathematical Notes, 68(5–6), 552–555. https://doi.org/10.1023/A:1026659205382
  • Altafini, C. (2012a). Consensus problems on networks with antagonistic interactions. IEEE Transactions on Automatic Control, 58(4), 935–946. https://doi.org/10.1109/TAC.2012.2224251
  • Altafini, C. (2012b). Dynamics of opinion forming in structurally balanced social networks. Pl OS O NE , 7(6), e38135. https://doi.org/10.1371/journal.pone.0038135
  • Axelrod, R., Mitchell, W., Thomas, R. E., Bennett, D. S., & Bruderer, E. (1995). Coalition formation in standard-setting alliances. Management Science, 41(9), 1493–1508. https://doi.org/10.1287/mnsc.41.9.1493
  • Cao, Y., & Ren, W. (2010a). Distributed formation control for fractional-order systems: Dynamic interaction and absolute/relative damping. Systems and Control Letters, 59(3–4), 233–240. https://doi.org/10.1016/j.sysconle.2010.01.008
  • Cao, Y., & Ren, W. (2010b). Multi-vehicle coordination for double-integrator dynamics under fixed undirected/directed interaction in a sampled-data setting. International Journal of Robust Nonlinear Control, 20(9), 987–1000. https://doi.org/10.1002/rnc.v20:9
  • Chen, Y., & Shi, Y. (2020). Distributed consensus of linear multiagent systems: Laplacian spectra-based method. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(2), 700–706. https://doi.org/10.1109/TSMC.6221021
  • Dai, M. Z., Xiao, F., & Wei, B. (2019). Event-triggered and quantized self-triggered control for multi-agent systems based on relative state measurements. Journal of the Franklin Institute, 356(6), 3711–3732. https://doi.org/10.1016/j.jfranklin.2019.01.049
  • Fax, J. A., & Murray, R. M. (2004). Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control, 49(9), 1465–1476. https://doi.org/10.1109/TAC.2004.834433
  • Ferreira, N. M., & Tenreiro Machado, J. A. (2003). Fractional-order position/force control of two cooperating manipulators. In IEEE International Conference on Computational Cybernetics. IEEE.
  • Hou, B., Sun, F., Li, H., Chen, Y., & Liu, G. (2016). Scaled cluster consensus of discrete-time multi-agent systems with general directed topologies. International Journal of Systems Science, 47(16), 3839–3845. https://doi.org/10.1080/00207721.2015.1129675
  • Hu, J., & Wu, Y. (2017). Interventional bipartite consensus on coopetition networks with unknown dynamics. Journal of The Franklin Institute, 354(11), 4438–4456. https://doi.org/10.1016/j.jfranklin.2017.04.010
  • Hu, J., & Zhu, H. (2015). Adaptive bipartite consensus on coopetition networks. Physica D: Nonlinear Phenomena, 307, 14–21. https://doi.org/10.1016/j.physd.2015.05.012
  • Huang, L., Wang, L., & Hollot, C.V. (1992). On robust stability of polynomials and related topics. Systems Science and Mathematical Sciences, 5(1), 42–54.
  • Jadbabaie, A., Lin, J., & Morse, A. S. (2003). Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control, 48(6), 988–1001. https://doi.org/10.1109/TAC.2003.812781
  • Jiang, Y., Zhang, H., & Chen, J. (2017). Sign-consensus of linear multi-agent systems over signed directed graphs. IEEE Transactions on Industrial Electronics, 64(6), 5075–5083. https://doi.org/10.1109/TIE.2016.2642878
  • Lee, S. (2006). Predator's attack-induced phase-like transition in prey flock. Physics Letters A, 357(4–5), 270–274. https://doi.org/10.1016/j.physleta.2006.04.065
  • Liu, H., Cheng, L., Tan, M., & Hou, Z. (2018). Exponential finite-time consensus of fractional-order multiagent systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 50(4), 1549–1558. https://doi.org/10.1109/TSMC.6221021
  • Liu, H., Xie, G., & Gao, Y. (2019). Consensus of fractional-order double-integrator multi-agent systems. Neurocomputing, 340, 110–124. https://doi.org/10.1016/j.neucom.2019.02.046
  • Liu, P., Xiao, F., & Wei, B. (2022). Event-triggered control for multi-agent systems: Event mechanisms for information transmission and controller update. Journal of Systems Science and Complexity, 35(3), 953–972. https://doi.org/10.1007/s11424-021-0200-7
  • Matignon, D. (1996). Stability results for fractional differential equations with applications to control processing. Computational Engineering in Systems Applications, 2(1), 963–968.
  • 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. (2015). Nonlinear finite-time bipartite consensus protocol for multi-agent systems associated with signed graphs. International Journal of Control, 88(10), 2074–2085. https://doi.org/10.1080/00207179.2015.1033757
  • Olfati-Saber, R. (2006). Flocking for multi-agent dynamic systems: Algorithms and theory. IEEE Transactions on Automatic Control, 51(3), 401–420. https://doi.org/10.1109/TAC.2005.864190
  • Olfati-Saber, R., Fax, J. A., & Murray, R. M. (2007). Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 95(1), 215–233. https://doi.org/10.1109/JPROC.2006.887293
  • Olfati-Saber, R., & Shamma, J. S. (2005). Consensus filters for sensor networks and distributed sensor fusion. In Proceedings of the 44th IEEE Conference on Decision and Control (pp. 6698–6703). IEEE.
  • Orbach, R. (1989). Fractal phenomena in disordered systems. Annual Review of Materials Science, 19( 1), 497–525. https://doi.org/10.1146/matsci.1989.19.issue-1
  • Podlubny, I. (1999). Fractional differential equations. Academic.
  • Qin, J., & Yu, C. (2013). Cluster consensus control of generic linear multi-agent systems under directed topology with acyclic partition. Automatica, 49(9), 2898–2905. https://doi.org/10.1016/j.automatica.2013.06.017
  • Ren, J., Song, Q., & Lu, G. (2019). Event-triggered bipartite leader-following consensus of second-order nonlinear multi-agent systems under signed digraph. Journal of the Franklin Institute, 356(12), 6591–6609. https://doi.org/10.1016/j.jfranklin.2019.06.034
  • Ren, W., Beard, R. W., & Atkins, E. M. (2005). A survey of consensus problems in multi-agent coordination. In Proceedings of American Control Conference (pp. 1859–1864). IEEE.
  • Ren, W., & Cao, Y. (2011). Distributed coordination of multi-agent networks: Emergent problems, models, and issues. Springer.
  • Shang, Y. (2017). Finite-time scaled consensus through parametric linear iterations. International Journal of Systems Science, 48(10), 2033–2040. https://doi.org/10.1080/00207721.2017.1309593
  • Su, H., Liu, Y., & Zeng, Z. (2020). Second- order consensus for multiagent systems via intermittent sampled position data control. IEEE Transactions on Cybernetics, 50(5), 2063–2072. https://doi.org/10.1109/TCYB.6221036
  • Su, Y., Shi, Y., & Sun, C. (2019). Distributed model predictive control for tracking consensus of linear multiagent systems with additive disturbances and time-varying communication delays. IEEE Transactions on Cybernetics, 51(7), 3813–3823. https://doi.org/10.1109/TCYB.2019.2939732
  • Valcher, M. E., & Misra, P. (2014). On the consensus and bipartite consensus in high-order multi-agent dynamical systems with antagonistic interactions. Systems & Control Letters, 66, 94–103. https://doi.org/10.1016/j.sysconle.2014.01.006
  • Wang, X., Cao, Y., Niu, B., & Song, Y. (2022). A novel bipartite consensus tracking control for multiagent systems under sensor deception attacks. IEEE Transactions on Cybernetics, 53(9), 5984–5993. https://doi.org/10.1109/TCYB.2022.3225361
  • Xie, D., Shi, L., & Jiang, F. (2018). Group tracking control of second-order multi-agent systems with fixed and Markovian switching topologies. Neurocomputing, 281, 37–46. https://doi.org/10.1016/j.neucom.2017.11.040
  • Yin, X., Yue, D., & Hu, S. (2013). Consensus of fractional-order heterogeneous multi-agent systems. IET Control Theory and Applications, 7(2), 314–322. https://doi.org/10.1049/cth2.v7.2
  • Yu, J., & Wang, L. (2012). Group consensus of multi-agent systems with directed information exchange. International Journal of Systems Science, 43(2), 334–348. https://doi.org/10.1080/00207721.2010.496056
  • Yu, Z., Jiang, H., & Hu, C. (2015). Leader-following consensus of fractional-order multi-agent systems under fixed topology. Neurocomputing, 149, 613–620. https://doi.org/10.1016/j.neucom.2014.08.013
  • Zhang, H., & Chen, J. (2014). Bipartite consensus of general linear multi-agent systems. In 2014 American Control Conference (pp. 808–812). IEEE.

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.