Abstract:multi-particle system under a proximity-based communication topology on
the Lorentz group SO(1,1). With the help of the Riemannian
manifold structure on the Lorentz group SO(1,1), we design a
rendezvous controller for particles by using the covariant derivative,
parallel transport, and Riemannian logarithm map on SO(1,1). We
further show that the proposed controller can guarantee that the
distance between each particle converges to zero and maintain the
connectivity of the communication topology if the initial… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.