Average consensus and gossip algorithms in networks with stochastic asymmetric communications

Duarte Antunes, Daniel Silvestre, Carlos Silvestre
2011 IEEE Conference on Decision and Control and European Control Conference  
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
more » ... del 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.
doi:10.1109/cdc.2011.6161444 dblp:conf/cdc/AntunesSS11 fatcat:emktvsfacvd45jrycvtobl72ma