@InProceedings{LMN:cdc05, Title = {Motion coordination using virtual nodes}, Author = {Nancy Lynch and Sayan Mitra and Tina Nolte}, Booktitle = { Proceedings of 44th {IEEE} Conference on Decision and Control ({CDC05})}, Year = {2005}, Address = {Seville, Spain}, Month = {December}, Publisher = {IEEE}, Abstract = {We describe how a virtual node abstraction layer can be used to coordinate the motion of real mobile nodes in a region of 2-space. In particular, we consider how nodes in a mobile ad hoc network can arrange themselves along a predetermined curve in the plane, and can maintain themselves in such a configuration in the presence of changes in the underlying mobile ad hoc network, specifically, when nodes may join or leave the system or may fail. Our strategy is to allow the mobile nodes to implement a virtual layer consisting of mobile client nodes, stationary Virtual Nodes (VNs) at predetermined locations in the plane, and local broadcast communication. The VNs coordinate among themselves to distribute the client nodes relatively evenly among the VNs' regions, and each VN directs its local client nodes to form themselves into the local portion of the target curve.}, Biburl = {http://users.crhc.illinois.edu/mitras/research.html}, Keywords = {Robotics, Distributed systems}, Pdfurl = {research/2005/vn-cdc07.pdf}, Ppturl = {research/presentations/motioncoodfinal.ppt} }