@inproceedings{8439b9e1805b47228e342a038bbabb57,

title = "Stochastic synchronization over a moving neighborhood network",

abstract = "We examine the synchronization problem for a group of dynamic agents that communicate via a moving neighborhood network. Each agent is modeled as a random walker in a unite lattice and is equipped with an oscillator. The communication network topology changes randomly and is dictated by the agents' locations in the lattice. Information sharing (talking) is possible only for geographically neighboring agents. The complex system is a time-varying jump nonlinear system. We introduce the concept of long-time expected communication network defined as the ergodic limit of the stochastic time-varying network. We show that if the long-time expected network supports synchronization, then so does the stochastic network when the agents diffuse sufficiently fast in the lattice.",

keywords = "Fast switching, Graph, Random walk, Stochastic stability, Synchronization",

author = "Maurizio Porfiri and Stilwell, {Daniel J.} and Bollt, {Erik M.} and Skufca, {Joseph D.}",

year = "2007",

doi = "10.1109/ACC.2007.4282732",

language = "English (US)",

isbn = "1424409888",

series = "Proceedings of the American Control Conference",

pages = "1413--1418",

booktitle = "Proceedings of the 2007 American Control Conference, ACC",

note = "2007 American Control Conference, ACC ; Conference date: 09-07-2007 Through 13-07-2007",

}