%0 Journal Article
%T Synchronous state in a fully connected phase-locked loop network
%A J. R. C. Piqueira
%A M. Q. Oliveira
%A L. H. A. Monteiro
%J Mathematical Problems in Engineering
%D 2006
%I Hindawi Publishing Corporation
%R 10.1155/mpe/2006/52356
%X Fully connected phase-locked networks are built with all nodes exchanging phase and frequency signals. The nodes are phase-locked loops (PLLs) with slightly different free-running frequencies. The synchronous state emerges from a dynamic process with the phase interactions generating a common frequency steady state. In this work, an estimation is analytically obtained for the synchronous state in a generic N-node network. Numerical experiments complete the analysis of the fully connected network relating free-running frequencies, node gains, and propagation delays.
%U http://www.hindawi.com/journals/mpe/2006/052356/abs/