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A framework for decentralised feedback connectivity control with application to sensor networks
Authors:F Knorn  R Stanojevic  M Corless  R Shorten
Affiliation:1. Hamilton Institute, NUI Maynooth , Maynooth, Co. Kildare, Ireland florian.knorn@nuim.ie;3. Hamilton Institute, NUI Maynooth , Maynooth, Co. Kildare, Ireland;4. School of Aeronautics &5. Astronautics, Purdue University , West Lafayette, IN 47907, USA
Abstract:In this article, we propose a decentralised algorithm for connectivity maintenance in a distributed sensor network. Our algorithm uses the dynamics of a consensus algorithm to estimate the connectivity of a network topology in a decentralised manner. These estimates are then used to inform a decentralised control algorithm that regulates the network connectivity to some desired level. Under certain realistic assumptions we show that the closed-loop dynamics can be described as a consensus algorithm with an input, and eventually reduces to a scalar system. Bounds are given to ensure the stability of the algorithm and examples are given to illustrate the efficacy of the proposed algorithm.
Keywords:topology control  distributed averaging  consensus algorithms with inputs  rate of convergence
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