Title: Keeping Mobile Robots Connected Speaker: Alex Cornejo (MIT) Place: 32-G531 Time: 1-2:30pm Date: Friday March 6th, 2009 Summary: I will describe and prove the safety and progress guarantees of a distributed algorithm for keeping a mobile robot swarms connected. Informally each robot is embedded in Euclidean space and wants to perform a task which may require communication with some subset of the other robots and moving around. We designed an algorithm which sits between the motion planner and the network layer and modifies the trajectories of each robot to guarantee connectivity. Even though connectivity is a global property of the graph, the algorithm uses only local information. Furthermore, since motion planning occurs in Euclidean space, most proofs require geometrical reasoning.