Constrained agreement protocols for tree graph topologies

References

• Bamieh , B , Paganini , F and Dahleh , M . 2002 . Distributed Control of Spatially Invariant Systems . IEEE Transactions on Automatic Control , 47 : 1091 – 1107 .
   Web of Science ®Google Scholar
• Boyd , S . Ghosh, A., Prabhakar, B., and Shah, D. (2005), ‘Gossip Algorithms: Design, Analysis, and Applications’, in Proceedings IEEE Infocomm, March, Vol. 3, Miami, pp. 1653–1664
   Google Scholar
• Chipalkatty , R , Egerstedt , M and Azuma , SI . 2009 . Multi-pendulum Synchronization Using Constrained Agreement Protocols . RoboComm Conference . 2009 . pp. 1 – 6 .
   Google Scholar
• Dimarogonas , D and Kyriakopoulos , K . 2007 . Decentralised Navigation Functions for Multiple Robotic Agents with Limited Sensing Capabilities . Journal of Intelligent and Robotic Systems , 48 : 411 – 433 .
   Web of Science ®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
• Jadbabaie , A , Motee , N and Barahona , M . 2004 . On the Stability of the Kuramoto Model of Coupled Nonlinear Oscillators . Proceedings of the American Control Conference, Vol. 5 . 2004 . pp. 4296 – 4301 .
   Google Scholar
• Mesbahi , M and Egerstedt , M . 2010 . Graph Theoretic Methods in Multiagent Networks , Princeton , NJ : Princeton University Press .
   Google Scholar
• Moore , KL . and Lucarelli, D. (2005), ‘Forced and Constrained Consensus Among Cooperating Agents’, in Proceedings IEEE Networking, Sensing and Control, 19–22 March, pp. 449–454
   Google Scholar
• Motee , N and Jadbabaie , A . 2008 . Optimal Control of Spatially Distributed Systems . IEEE Transactions on Automatic Control , 53 : 1616 – 1629 .
   Web of Science ®Google Scholar
• Nedic , A . Ozdaglar, A., and Parrilo, P.A. (2008), ‘Constrained Consensus’, Technical Report 2779, LIDS
   Google Scholar
• Olfati-Saber , R and Murray , RM . 2003 . Agreement Problems in Networks with Directed Graphs and Switching Topology . Proceedings of the 42nd IEEE Conference on Decision Control, December, Vol. 4 . 2003 . pp. 4126 – 4132 . Maui , HI
   Google Scholar
• Rantzer , A . 2009 . Dynamic Dual Decomposition for Distributed Control . American Control Conference, 2009. ACC'09 . 2009 . pp. 884 – 888 . IEEE .
   Google Scholar
• Ren , W and Beard , R . 2004 . Consensus of Information Under Dynamically Changing Interaction Topologies . Proceedings of the American Control Conference . 30 June–2 July, Vol. 6 2004 . pp. 4939 – 4944 .
   Google Scholar
• Rotkowitz , M and Lall , S . 2006 . A Characterisation of Convex Problems in Decentralised Control . IEEE Transactions on Automatic Control , 51 : 274 – 286 .
   Web of Science ®Google Scholar
• Spong , MW . 1989 . Robot Dynamics and Control , New York , NY : Wiley & Sons .
   Google Scholar
• Tanner , H , Jadbabaie , A and Pappas , G . 2000 . Coordination of Multiple Autonomous Vehicles . Proceedings of the 11th IEEE Mediterranean Conference on Control and Automation, June . 2000 . Rhodes , , Greece
   Google Scholar
• Xiao , L , Boyd , S and Lall. , S . 2005 . A Scheme for Robust Distributed Sensor Fusion Based on Average Consensus . International Conference on Information Processing in Sensor Networks . 2005 . pp. 63 – 70 . Los Angeles
   Google Scholar
• Yang , R , Kuen , YY and Li , Z . 2000 . Stabilization of a 2-DOF Spherical Pendulum on X-Y Table . Proceedings of the IEEE International Conference on Control Applications . 25–27 September 2000 . pp. 724 – 729 .
   Google Scholar