Stabilisability of discrete-time multi-agent systems under fixed and switching topologies

References

• Anderson, B. D. O., Yu, C., Fidan, B., & Hendrickx, J. M. (2008). Rigid graph control architectures for autonomous formations. IEEE Control Systems, 28(6), 48–63. doi: 10.1109/MCS.2008.929280
   Web of Science ®Google Scholar
• Bai, E. W., Fu, L. C., & Sastry, S. S. (1986). Averaging analysis for discrete time and sampled data adaptive systems. IEEE Transactions on Circuits and Systems, 35(2), 137–148. doi: 10.1109/31.1715
   Google Scholar
• Fax, J. A., & Murray, R. M. (2004). Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control, 49(9), 1465–1476. doi: 10.1109/TAC.2004.834433
   Web of Science ®Google Scholar
• Guan, Y., Ji, Z., Zhang, L., & Wang, L. (2013). Decentralized stabilizability of multi-agent systems under fixed and switching topologies. Systems and Control Letters, 62(5), 438–446. doi: 10.1016/j.sysconle.2013.02.010
   Web of Science ®Google Scholar
• Guan, Y., Ji, Z., Zhang, L., & Wang, L. (2014). Quadratic stabilisability of multi-agent systems under switching topologies. International Journal of Control, 87(12), 2657–2668. doi: 10.1080/00207179.2014.938249
   Web of Science ®Google Scholar
• Guan, Y., Ji, Z., Zhang, L., & Wang, L. (2015). Recent developments on controllability of multi-agent systems. Control Theory & Applications, 32(4), 421–431.
   Google Scholar
• Guan, Y., Ji, Z., Zhang, L., & Wang, L. (2016). Controllability of heterogeneous multi-agent systems under directed and weighted topology. International Journal of Control, 89(5), 1–25. doi: 10.1080/00207179.2015.1110756
   Web of Science ®Google Scholar
• Guan, Y., Ji, Z., Zhang, L., & Wang, L. (2017). Controllability of multi-agent systems under directed topology. International Journal of Robust and Nonlinear Control, 27(18), 4333–4347. doi: 10.1002/rnc.3798
   Web of Science ®Google Scholar
• Guan, Y., & Wang, L. (2017). Structural controllability of multi-agent systems with absolute protocol under fixed and switching topologies. Science China Information Sciences, 60(9), 092203:1–092203:15. doi: 10.1007/s11432-016-0498-8
   Web of Science ®Google Scholar
• Guan, Y., & Wang, L. (2018). Controllability of multi-agent systems with directed and weighted signed networks. Systems and Control Letters, 116, 47–55. doi: 10.1016/j.sysconle.2018.04.010
   Web of Science ®Google Scholar
• Hengster-Movric, K., You, K., Lewis, F. L., & Xie, L. (2013). Synchronization of discrete-time multi-agent systems on graphs using Riccati design. Automatica, 49(2), 414–423. doi: 10.1016/j.automatica.2012.11.038
   Web of Science ®Google Scholar
• Ji, Z., Lin, H., & Yu, H. (2012). Leaders in multi-agent controllability under consensus algorithm and tree topology. Systems and Control Letters, 61(9), 918–925. doi: 10.1016/j.sysconle.2012.06.003
   Web of Science ®Google Scholar
• Ji, Z., Lin, H., & Yu, H. (2015). Protocols design and uncontrollable topologies construction for multi-agent networks. IEEE Transactions on Automatic Control, 60(3), 781–786. doi: 10.1109/TAC.2014.2335971
   Web of Science ®Google Scholar
• Ji, Z., & Yu, H. (2017). A new perspective to graphical characterization of multiagent controllability. IEEE Transactions on Cybernetics, 47(6), 1471–1483. doi: 10.1109/TCYB.2016.2549034
   PubMed Web of Science ®Google Scholar
• Jing, G., Zhang, G., Joseph Lee, H. W., & Wang, L. (2018). Weak rigidity theory and its application to formation stabilization. SIAM Journal on Control and Optimization, 56(3), 2248–2273. doi: 10.1137/17M1122049
   Web of Science ®Google Scholar
• Kim, H., Shim, H., Back, J., & Jin, H. S. (2011). Stabilizability of a group of single integrators and its application to decentralized formation problem. IEEE Conference on Decision and Control and European Control Conference, 4829–4834. doi: 10.1109/CDC.2011.6161139
   Google Scholar
• Krasnosel'skii, M. A., & Krein, S. G. (1955). On the averaging principle in nonlinear mechanics. Uspekhi Matem Nauk, 20(3), 147–152.
   Google Scholar
• Krylov, N., & Bogoliubov, N. (1949). Introduction to non-linear mechnnics. Princeton, NJ: Princeton University Press.
   Google Scholar
• Li, Z., Duan, Z., & Chen, G. (2011). Consensus of discrete-time linear multi-agent systems with observer-type protocols. Discrete and Continuous Dynamical Systems-Series B, 16(2), 489–505. doi: 10.3934/dcdsb.2011.16.489
   Web of Science ®Google Scholar
• Liu, B., Chu, T., Wang, L., & Xie, G. (2008). Controllability of a leader-follower dynamic network with switching topology. IEEE Transactions on Automatic Control, 53(4), 1009–1013. doi: 10.1109/TAC.2008.919548
   Web of Science ®Google Scholar
• Liu, H., Xie, G., & Wang, L. (2012). Containment of linear multi-agent systems under general interaction topologies. Systems and Control Letters, 61(4), 528–534. doi: 10.1016/j.sysconle.2012.01.012
   Web of Science ®Google Scholar
• Ma, J., Zheng, Y., & Wang, L. (2015). LQR-based optimal topology of leader-following consensus. International Journal of Robust and Nonlinear Control, 25(17), 3404–3421. doi: 10.1002/rnc.3271
   Web of Science ®Google Scholar
• 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(9), 1520–1533. doi: 10.1109/TAC.2004.834113
   Web of Science ®Google Scholar
• Qin, J., Gao, H., & Yu, C. (2014). On discrete-time convergence for general linear multi-agent systems under dynamic topology. IEEE Transactions on Automatic Control, 59(4), 1054–1059. doi: 10.1109/TAC.2013.2285777
   Web of Science ®Google Scholar
• Ren, W., & Beard, R. M. (2005). Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 50(5), 655–661. doi: 10.1109/TAC.2005.846556
   Web of Science ®Google Scholar
• Sanders, J. A., Verhulst, F., & Murdock, J. (2007). Averaging methods in nonlinear dynamical systems (2nd ed.). New York, NY: Springer.
   Google Scholar
• Stamati, A., & Tsinias, J. (2011). Sufficient conditions for local asymptotic stability and stabilization for discrete-time varying systems. IEEE Transactions on Automatic Control, 56(3), 643–649. doi: 10.1109/TAC.2010.2091181
   Web of Science ®Google Scholar
• Valcher, M. E., & Misra, P. (2012). On the controllability and stabilizability of non-homogeneous multi-agent dynamical systems. Systems and Control Letters, 61(7), 780–787. doi: 10.1016/j.sysconle.2012.04.006
   Web of Science ®Google Scholar
• Wang, L., Jiang, F., Xie, G., & Ji, Z. (2009). Controllability of multi-agent systems based on agreement protocols. Science China Information Sciences, 52(11), 2074–2088. doi: 10.1007/s11432-009-0185-7
   Web of Science ®Google Scholar
• Wang, M., Qiu, J., & Feng, G. (2018a). Finite frequency filtering design for uncertain discrete-time systems using past output measurements. IEEE Transactions on Circuits and Systems-I: Regular Papers, 65(9), 3005–3031. doi: 10.1109/TCSI.2018.2824315
   Web of Science ®Google Scholar
• Wang, M., Qiu, J., & Feng, G. (2018b). Finite frequency memory output feedback controller design for T-S fuzzy dynamical systems. IEEE Transactions on Fuzzy Systems, doi:10.1109/TFUZZ.2018.2821654.
   Web of Science ®Google Scholar
• Wang, T., Qiu, J., Gao, H., & Wang, C. (2017). Network-based fuzzy control for nonlinear industrial processes with predictive compensation strategy. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(8), 2137–2147. doi: 10.1109/TSMC.2016.2616904
   Web of Science ®Google Scholar
• Wieland, P. (2010). From static to dynamic couplings in consensus and synchronization among identical and non-identical systems (Ph.D. dissertation). Institute for Systems Theory and Automatic Control, Logos Verlag, Berlin University of Stuttgart.
   Google Scholar
• Xiao, F., Meng, X., & Chen, T. (2015). Sampled-data consensus in switching networks of integrators based on edge events. International Journal of Control, 88(2), 391–402. doi: 10.1080/00207179.2014.955530
   Web of Science ®Google Scholar
• Xiao, N., Xie, L., & Qiu, L.. (2009). Mean square stabilization of multi-input systems over stochastic multiplicative channels. In Proceedings Joint 48th IEEE conference on decision and control and 28th Chinese control conference, Shanghai (pp. 6893–6898).
   Google Scholar
• Xie, G., & Wang, L. (2009). Moving formation convergence of a group of mobile robots via decentralised information feedback. International Journal of Systems Science, 40(10), 1019–1027. doi: 10.1080/00207720902974603
   Web of Science ®Google Scholar
• You, K., & Xie, L. (2011). Network topology and communication data rate for consensusability of discrete-time multi-agent systems. IEEE Transactions on Automatic Control, 56(10), 2262–2275. doi: 10.1109/TAC.2011.2164017
   Web of Science ®Google Scholar
• Zhang, H., Feng, T., Liang, H., & Luo, Y. (2017). LQR-based optimal distributed cooperative design for linear discrete-time multiagent systems. IEEE transactions on neural networks and learning systems, 28(3), 599–611. doi: 10.1109/TNNLS.2015.2490072
   PubMed Web of Science ®Google Scholar
• Zhao, B., Guan, Y., & Wang, L. (2016). Controllability improvement for multi-agent systems: leader selection and weight adjustment. International Journal of Control, 89(10), 2008–2018. doi: 10.1080/00207179.2016.1146970
   Web of Science ®Google Scholar
• Zhu, Y., Zheng, Y., & Wang, L. (2015). Containment control of switched multi-agent systems. International Journal of Control, 88(12), 2570–2577. doi: 10.1080/00207179.2015.1050698
   Web of Science ®Google Scholar