Convergence analysis of directed signed networks via an M-matrix approach

References

• Altafini, C. (2013). Consensus problems on networks with antagonistic interactions. IEEE Transactions on Automatic Control, 58(4), 935–946.
   Web of Science ®Google Scholar
• Altafini, C., & Lini, G. (2015). Predictable dynamics of opinion forming for networks with antagonistic interactions. IEEE Transactions on Automatic Control, 60(2), 342–357.
   Web of Science ®Google Scholar
• Cao, M., Morse, A. S., & Anderson, B. D. O. (2008). Reaching a consensus in a dynamically changing environment: A graphical approach. SIAM Journal on Control and Optimization, 47(2), 575–600.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Cortés, J. (2008). Distributed algorithms for reaching consensus on general functions. Automatica, 44(3), 726–737.
   Web of Science ®Google Scholar
• Fan, M. C., Zhang, H. T., & Wang, M. (2014). Bipartite flocking for multi-agent systems. Communications in Nonlinear Science and Numerical Simulation, 19(9), 3313–3322.
   Web of Science ®Google Scholar
• Hendrickx, J. M. (2014). A lifting approach to models of opinion dynamics with antagonisms. In Proceedings of the IEEE Conference on Decision and Control (pp. 2118–2123). Los Angeles, CA.
   Google Scholar
• Horn, R. A., & Johnson, C. R. (1985). Matrix analysis. Cambridge: Cambridge University Press.
   Google Scholar
• Horn, R. A., & Johnson, C. R. (1991). Topics in matrix analysis. Cambridge: Cambridge University Press.
   Google Scholar
• Hu, J., Hu, X., & Zhang, Y. (2014). Bipartite consensus strategies for coopetition networks. In Proceedings of the Chinese Control Conference (pp. 1505–1510). Nanjing, China.
   Google Scholar
• Hu, J., Xiao, Z., Zhou, Y., & Yu, J. (2013). Formation control over antagonistic networks. In Proceedings of the Chinese Control Conference (pp. 6879–6884). Xi’an, China.
   Google Scholar
• Hu, J., & Zheng, W. X. (2013). Bipartite consensus for multi-agent systems on directed signed networks. In Proceedings of the 52nd IEEE Conference on Decision and Control (pp. 3451–3456). Florence, Italy.
   Google Scholar
• Hu, J., & Zheng, W. X. (2014). Emergent collective behaviors on coopetition networks. Physics Letters A, 378(26-27), 1787–1796.
   Web of Science ®Google Scholar
• 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), 998–1001.
   Web of Science ®Google Scholar
• Liu, H., Cheng, L., Tan, M., Hou, Z., & Wang, Y. (2015). Distributed exponential finite-time coordination of multi-agent systems: Containment control and consensus. International Journal of Control, 88(2), 237–247.
   Web of Science ®Google Scholar
• Lu, W., Gao, H., & Dai, M. (2014). Collective four-group antagonistic formation motion. In Proceedings of the Chinese Control Conference (pp. 1293–1298). Nanjing, China.
   Google Scholar
• Ma, H., Liu, D., Wang, D., & Li, H. (2014). Output-based high-order bipartite consensus under directed antagonistic networks. In Proceedings of the IEEE Symposium on Intelligent Agents (pp. 16–21). Orlando, FL.
   Google Scholar
• Meng, D. (2017). Bipartite containment tracking of signed networks. Automatica. 79, 282–289.
   Google Scholar
• Meng, D., Du, W., & Jia, Y. (2015). Data-driven consensus control for networked agents: An iterative learning control-motivated approach. IET Control Theory and Applications, 9(14), 2084–2096.
   Web of Science ®Google Scholar
• Meng, D., Du, M., & Jia, Y. (2016a). Interval bipartite consensus of networked agents associated with signed digraphs. IEEE Transactions on Automatic Control, 61(12), 3755–3770.
   Web of Science ®Google Scholar
• Meng, D., Jia, Y., & Du, J. (2016b). Finite-time consensus for multiagent systems with cooperative and antagonistic interactions. IEEE Transactions on Neural Networks and Learning Systems, 27(4), 762–770.
   PubMed Web of Science ®Google Scholar
• Meng, Z., Cao, Y., & Ren, W. (2010). Stability and convergence analysis of multi-agent consensus with information reuse. International Journal of Control, 83(5), 1081–1092.
   Web of Science ®Google Scholar
• Meng, Z., Shi, G., & Johansson, K. H. (2014a). Multi-agent systems with compasses: Cooperative and cooperative-antagonistic networks. In Proceedings of the Chinese Control Conference (pp. 1430–1437). Nanjing, China.
   Google Scholar
• Meng, Z., Shi, G., Johansson, K. H., Cao, M., & Hong, Y. (2014b). Modulus consensus over networks with antagonistic interactions and switching topologies. arXiv:1402.2766. Retrieved from http://arxiv.org/abs/1402.2766).
   Google Scholar
• Mesbahi, M., & Egerstedt, M. (2010). Graph theoretic methods in multiagent networks. Princeton, NJ: Princeton University Press.
   Google Scholar
• Moreau, L. (2005). Stability of multiagent systems with time-dependent communication links. IEEE Transactions on Automatic Control, 50(2), 169–182.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar
• Olshevsky, A., & Tsitsiklis, J. N. (2009). Convergence speed in distributed consensus and averaging. SIAM Journal on Control and Optimization, 48(1), 33–55.
   Web of Science ®Google Scholar
• Proskurnikov, A. V., Matveev, A., & Cao, M. (2016). Opinion dynamics in social networks with hostile camps: Consensus vs. polarization. IEEE Transactions on Automatic Control, 61(6), 1524–1536.
   Web of Science ®Google Scholar
• Ren, W., & Beard, R. W. (2005). Consensus seeking in multi-agent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control, 50(5), 655–661.
   Web of Science ®Google Scholar
• Shi, G., Proutiere, A., Johansson, M., Baras, J. S., & Johansson, K. H. (2015). Emergent behaviors over signed random dynamical networks: State-flipping model. IEEE Transactions on Control of Networks, 2(2), 142–153.
   Web of Science ®Google Scholar
• Song, Q., Liu, F., Cao, J., & Yu, W. (2013). M-matrix strategies for pinning-controlled leader-following consensus in multiagent systems with nonlinear dynamics. IEEE Transactions on Cybernetics, 43(6), 1688–1697.
   PubMed Web of Science ®Google Scholar
• Valcher, M. E., & Misra, P. (2014). On the consensus and bipartite consensus in high-order multi-agent dynamical systems with antagonistic interactions. Systems and Control Letters, 66, 94–103.
   Web of Science ®Google Scholar
• Wen, G., Duan, Z., Chen, G., & Yu, W. (2014). Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies. IEEE Transactions on Circuits and Systems–I: Regular Papers, 61(2), 499–511.
   Web of Science ®Google Scholar
• Wen, G., Yu, W., Hu, G., Cao, J., & Yu, X. (2015). Pinning synchronization of directed networks with switching topologies: A multiple Lyapunov functions approach. IEEE Transactions on Neural Networks and Learning Systems, 26(12), 3239–3250.
   PubMed Web of Science ®Google Scholar
• Xia, W., Cao, M., & Johansson, K. H. (2016). Structural balance and opinion separation in trust-mistrust social networks. IEEE Transactions on Control of Networks, 3(1), 46–56.
   Web of Science ®Google Scholar
• Yucelen, T., & Haddad, W. M. (2014). Consensus protocols for networked multi-agent systems with a uniformly continuous quasi-resetting architecture. International Journal of Control, 87(8), 1716–1727.
   Web of Science ®Google Scholar
• Zaslavsky, T. (1982). Signed graphs. Discrete Applied Mathematics, 4(1), 47–74.
   Web of Science ®Google Scholar
• Zhang, H. (2014). Dynamic output feedback control of multi-agent systems over signed graphs. In Proceedings of the Chinese Control Conference (pp. 1327–1332). Nanjing, China.
   Google Scholar
• Zhang, H., & Chen, J. (2014). Bipartite consensus of general linear multi-agent systems. In Proceedings of the American Control Conference (pp. 808–812). Portland, OR.
   Google Scholar
• Zhang, H., & Chen, J. (2017). Bipartite consensus of multi-agent systems over signed graphs: State feedback and output feedback control approaches. International Journal of Robust and Nonlinear Control, 27(1), 3–14.
   Web of Science ®Google Scholar
• Zheng, Y., Chen, W., & Wang, L. (2011). Finite-time consensus for stochastic multi-agent systems. International Journal of Control, 84(10), 1644–1652.
   Web of Science ®Google Scholar
• 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.
   Web of Science ®Google Scholar