Group consensus of multi-agent systems in directed networks with noises and time delays

References

• Chen, Y., Lü, J., Han, F., & Yu, X. (2011). On the cluster consensus of discrete-time multi-agent systems. Systems and Control Letters, 60, 517–523.
   Web of Science ®Google Scholar
• Fax, J.A., & Murray, R.M. (2004). Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control, 49, 1465–1476.
   Web of Science ®Google Scholar
• Fortunato, S. (2010). Community detection in graphs. Physics Reports, 486, 75–174.
   Web of Science ®Google Scholar
• Gao, Y., Zuo, M., Jiang, T., Du, J., & Ma, J. (2013). Asynchronous consensus of multiple second-order agents with partial state information. International Journal of Systems Science, 44, 966–977.
   Web of Science ®Google Scholar
• Hale, J.K., & Lunel, S.M.V. (1993). Introduction to functional differential equations. New York, NY: Springer-Verlag.
   Google Scholar
• Hespanha, J.P., Naghshtabrizi, P., & Xu, Y. (2007). A survey of recent results in networked control systems. Proceedings of the IEEE, 95, 138–162.
   Web of Science ®Google Scholar
• Huang, M., & Manton, J.H. (2009). Coordination and consensus of networked agents with noisy measurements: Stochastic algorithms and asymptotic behavior. SIAM Journal on Control and Optimization, 48, 134–161.
   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, 988–1001.
   Web of Science ®Google Scholar
• Liu, S., Xie, L., & Zhang, H. (2011). Distributed consensus for multi-agent systems with delays and noises in transmission channels. Automatica, 47, 920–934.
   Web of Science ®Google Scholar
• Mao, X. (1996). Robustness of exponential stability of stochastic differential delay equations. IEEE Transactions on Automatic Control, 41, 442–447.
   Web of Science ®Google Scholar
• Mesbahi, M., & Egerstedt, M. (2010). Graph theoretic methods in multiagent networks. Princeton, NJ: Princeton University Press.
   Google Scholar
• Miao, G., Xu, S., & Zou, Y. (2013). Necessary and sufficient conditions for mean square consensus under Markov switching topologies. International Journal of Systems Science, 44, 178–186.
   Web of Science ®Google Scholar
• Miller, P. (2010). The smart swarm. New York, NY: Penguin Group.
   Google Scholar
• Newman, M.E.J. (2006). Modularity and community structure in networks. Proceedings National Academy of Science of the United States of America, 103, 8577–8582.
   PubMed 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, 215–233.
   Web of Science ®Google Scholar
• Olfati-Saber, R., & Murray, R.W. (2004). Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control, 49, 1520–1533.
   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, 655–661.
   Web of Science ®Google Scholar
• Ren, W., Beard, R.W., & Atkins, E.M. (2005). A survey of consensus problems in multi-agent coordination. Proceedings of the American Control Conference, Portland, pp. 1859–1864.
   Google Scholar
• Shang, Y. (2011). Leader-following consensus problems with a time-varying leader under measurement noises. Advances in Dynamical Systems and Applications, 6, 255–270.
   Google Scholar
• Shang, Y. (2012a). Finite-time consensus for multi-agent systems with fixed topologies. International Journal of Systems Science, 43, 499–506.
   Web of Science ®Google Scholar
• Shang, Y. (2012b). Synchronization in networks of coupled harmonic oscillators with stochastic perturbation and time delays. Mathematics and its Applications: Annals of the Academy of Romanian Scientists, 4, 44–58.
   Google Scholar
• Shang, Y. (2013a). L1 group consensus of multi-agent systems with stochastic inputs under directed interaction topology. International Journal of Control, 86, 1–8.
   Web of Science ®Google Scholar
• Shang, Y. (2013b). L1 group consensus of multi-agent systems with switching topologies and stochastic inputs. Physics Letters A, 377, 1582–1586.
   Web of Science ®Google Scholar
• Sun, F., Guan, Z.H., Ding, L., & Wang, Y.W. (2013). Mean square average-consensus for multi-agent systems with measurement noise and time delay. International Journal of Systems Science, 44, 995–1005.
   Web of Science ®Google Scholar
• Tan, C., Liu, G.P., & Duan, G.R. (2011). Group consensus of networked multi-agent systems with directed topology. Proceedings of the 18th IFAC World Congress, Milano, pp. 8878–8883.
   Google Scholar
• Vab, R., & Skaret, G. (2008). Emerging school structures and collective dynamics in spawning herring: A simulation study. Ecological Modelling, 214, 125–140.
   Web of Science ®Google Scholar
• You, S.K., Kwon, D.H., Park, Y.I., Kim, S.M., Chung, M.H., & Kim, C.K. (2009). Collective behaviors of two-component swarms. Journal of Theoretical Biology, 261, 494–500.
   PubMed Web of Science ®Google Scholar
• Yu, J., & Wang, L. (2009). Group consensus in multi-agent systems with switching topologies. Proceedings of the Joint 48 IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, pp. 2652–2657.
   Google Scholar
• Yu, J., & Wang, L. (2010). Group consensus in multi-agent systems with switching topologies and communication delays. Systems and Control Letters, 59, 340–348.
   Web of Science ®Google Scholar
• Yu, J., & Wang, L. (2012). Group consensus of multi-agent systems with directed information exchange. International Journal of Systems Science, 43, 334–348.
   Web of Science ®Google Scholar