L¹ group consensus of multi-agent systems with stochastic inputs under directed interaction topology

References

• Chen , Y , Lü , J , Han , F and 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
• Chiang , M , Low , SH , Calderbank , AR and Doyle , JC . 2007 . Layering as Optimization Decomposition: A Mathematical Theory of Network Architectures . Proceedings of the IEEE , 95 : 255 – 312 .
   Web of Science ®Google Scholar
• Cybenko , G . 1989 . Dynamic Load Balancing for Distributed Memory Multiprocessors . Journal of Parallel and Distributed Computing , 7 : 279 – 301 .
   Web of Science ®Google Scholar
• Fax , JA and Murray , RM . 2004 . Information Flow and Cooperative Control of Vehicle Formations . IEEE Transaction on Automatic Control , 49 : 1465 – 1476 .
   Web of Science ®Google Scholar
• Y. Han, Lu, W., and Chen, T. (2012), ‘Cluster Consensus in Discrete-time Networks of Multi-agents with Adapted Inputs’, arXiv:1201.2803
   Google Scholar
• Hatano , Y and Mesbahi , M . 2005 . Agreement Over Random Networks . IEEE Transactions on Automatic Control , 50 : 1867 – 1872 .
   Web of Science ®Google Scholar
• Horn , RA and Johnson , CR . 1985 . Matrix Analysis , New York : Cambridge University Press .
   Google Scholar
• Jadbabaie , A , Lin , J and Morse , AS . 2003 . Coordination of Groups of Mobile Autonomous Agents using Nearest Neighbour Rules . IEEE Transactions on Automatic Control , 48 : 988 – 1001 .
   Web of Science ®Google Scholar
• Kelly , FP , Maulloo , AK and Tan , DKH . 1998 . Rate Control in Communication Networks: Shadow Prices, Proportional Fairness and Stability . Journal of Operational Research Socity , 49 : 237 – 252 .
   Web of Science ®Google Scholar
• Lafferiere , G , Williams , A , Caughman , J and Veerman , JJP . 2005 . Decentralised Control of Vehicle Formations . Systems and Control Letters , 54 : 899 – 910 .
   Web of Science ®Google Scholar
• Li , T and Zhang , JF . 2009 . Mean Square Average-consensus under Measurement Noises and Fixed Topologies: Necessary and Sufficient Conditions . Automatica , 45 : 1929 – 1936 .
   Web of Science ®Google Scholar
• Low , SH , Paganini , F and Doyle , JC . 2002 . Internet Congestion Control . IEEE Control Systems and Magazine , 22 : 28 – 43 .
   Web of Science ®Google Scholar
• Mesbahi , M and Egerstedt , M . 2010 . Graph Theoretic Methods in Multiagent Networks , New Jersey : Princeton University Press .
   Google Scholar
• Moreau , L . 2005 . Stability of Multiagent Systems with Time-dependent Communication Links . IEEE Transactions on Automatic Control , 50 : 169 – 182 .
   Web of Science ®Google Scholar
• Olfati-Saber , R , Fax , JA and Murray , RM . 2007 . Consensus and Cooperation in Networked Multi-agent Systems . Proceedings of the IEEE , 95 : 215 – 233 .
   Web of Science ®Google Scholar
• Olfati-Saber , R and Murray , RM . 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
• Păun , U . 2004 . New Classes of Ergodicity Coefficients, and Applications . Mathematical Reports (Bucurestic) , 6 : 141 – 158 .
   Google Scholar
• Ren , W and Beard , RW . 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 , RW and Atkins , EM . 2005 . A Survey of Consensus Problems in Multi-agent Coordination . Proceeding of American Control Conference . 2005 . pp. 1859 – 1864 . Portland
   Google Scholar
• Reynolds , CW . 1987 . Flocks, Herds, and Schools: A Distributed Behavioural Model . Computer Graphics , 21 : 25 – 34 .
   Google Scholar
• Seneta , E . 2006 . Non-negative Matrices and Markov Chains. , New York : Springer-Verlag .
   Google Scholar
• Shang , Y . 2009 . On Consensus of Nonlinear Multi-agent Systems under Directed Interaction Topologies . Proceedings of International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery . 2009 . pp. 128 – 131 . Zhangjiajie
   Google Scholar
• Shang , Y . 2010a . Emergence in Random Noisy Environments . International Journal of Mathematical Analysis , 4 : 1205 – 1215 .
   Google Scholar
• Shang , Y . 2010b . Multi-agent Coordination in Directed Moving Neighbourhood Random Networks . Chinese Physics B , 19 : 070201
   Web of Science ®Google Scholar
• Shang , Y . 2011a . 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 . 2011b . Consensus in a Class of Nonlinear Multi-agent Systems with Time-varying Topologies . Advances in Nonlinear Variational Inequalities , 14 : 89 – 96 .
   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 . Fast Distributed Consensus Seeking in Large-scale Sensor Networks via Shortcuts . International Journal of Computational Science and Engineering , 7 : 121 – 124 .
   Google Scholar
• Shen , J . (2000), ‘A Geometric Approach to Ergodic Non-homogeneous Markov Chains’, in Wavelet Analysis and Multiresolution Methods, Lecture Notes in Pure and Applied Mathematics, Vol. 212, pp. 341–366
   Google Scholar
• Sun , Y , Wang , L and Xie , G . 2008 . Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-varying Delays . Systems and Control Letters , 57 : 175 – 183 .
   Web of Science ®Google Scholar
• Tan , C . Liu, G.-P., and Duan, G.-R. (2011), ‘Group Consensus of Networked Multi-agent Systems with Directed Topology’, in Proceedings of 18th IFAC World Congress, pp. 8878–8883
   Google Scholar
• Vicsek , T , Czirók , A , Ben-Jacob , E , Cohen , I and Shochet , O . 1995 . Novel Type of Phase Transition in a System of Self-driven Particles . Physical Review Letters , 75 : 1226 – 1229 .
   PubMed Web of Science ®Google Scholar
• T. Vicsek, and Zafeiris, A., (2012), ‘Collective Motion’, Physics Report, doi:10.1016/j.physrep.2012.03.004
   Google Scholar
• Wolfowitz , J . 1963 . Products of Indecomposable, Aperiodic, Stochastic Matrices . Proceedings of the American Mathematical Society , 14 : 733 – 737 .
   Google Scholar
• Xiao , L and Boyd , S . 2004 . Fast Linear Iterations for Distributed Averaging . Systems and Control Letters , 53 : 65 – 78 .
   Web of Science ®Google Scholar
• Yu , J and Wang , L . 2009a . Group Consensus of Multi-agent Sytems with Undirected Communication Graphs . Proceeding of the 7th Asian Control Conference . 2009a . pp. 105 – 110 .
   Google Scholar
• Yu , J and Wang , L . 2009b . Group Consensus in Multi-agent Systems with Switching Topologies . Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference . 2009b . pp. 2652 – 2657 . Shanghai
   Google Scholar
• Yu , J and 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