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Title: Average consensus and gossip algorithms in networks with stochastic asymmetric communications
Authors: Antunes, D.
Silvestre, Daniel
Silvestre, C.
Keywords: Gossip Algorithms
Issue Date: Dec-2011
Publisher: IEEE
Citation: D. Antunes, D. Silvestre and C. Silvestre, "Average consensus and gossip algorithms in networks with stochastic asymmetric communications," 2011 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, 2011, pp. 2088-2093.
Abstract: We consider that a set of distributed agents desire to reach consensus on the average of their initial state values, while communicating with neighboring agents through a shared medium. This communication medium allows only one agent to transmit unidirectionally at a given time, which is true, e.g., in wireless networks. We address scenarios where the choice of agents that transmit and receive messages at each transmission time follows a stochastic characterization, and we model the topology of allowable transmissions with asymmetric graphs. In particular, we consider: (i) randomized gossip algorithms in wireless networks, where each agent becomes active at randomly chosen times, transmitting its data to a single neighbor; (ii) broadcast wireless networks, where each agent transmits to all the other agents, and access to the network occurs with the same probability for every node. We propose a solution in terms of a linear distributed algorithm based on a state augmentation technique, and prove that this solution achieves average consensus in a stochastic sense, for the special cases (i) and (ii). Expressions for absolute time convergence rates at which average consensus is achieved are also given.
Peer Reviewed: yes
metadata.dc.identifier.doi: 10.1109/CDC.2011.6161444
Appears in Collections:AUTONOMA TECHLAB - Artigos/Papers
DCT - Artigos/Papers

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