Motion coordination is an extraordinary phenomenon in biological systems
and a powerful tool in man-made systems; although individual agents have no
global system knowledge, complex behaviors emerge from local
interactions. This talk focuses on motion-enabled robotic networks, i.e.,
networks where agent motions are purposefully induced in order to perform
useful tasks.  Two example tasks are how to respond to service requests in
an environment and how to deploy sensor nodes in locations of interest.
For these tasks, we review a well-known approach based on localization
optimization, gradient flows, synchronous communication and connectivity.
Then, we propose a recent deployment and partitioning algorithm that
requires only pairwise asynchronous gossip communication.  A key novel idea
is the description of the deployment problem as a dynamical system on the
space of partitions.