2013
DOI: 10.1016/j.automatica.2013.07.015
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Distributed clock skew and offset estimation from relative measurements in mobile networks with Markovian switching topology

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Cited by 31 publications
(30 citation statements)
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“…This is in contrast to approaches where statistical models of disturbances are assumed [13,24,25], or to approaches that are focused on averaging initial samples [2,9,[26][27][28], or to methods where the estimation variables are static parameters [12,18,[29][30][31], or to those where only local measurements are diffused over the network [32]. Compared to [2,7,9,13,26,28], we do not use the consensus algorithms in the estimator, and compared to [9], we do not use the Laplacian matrix associated to the communication graph to design the estimator.…”
Section: Introductionmentioning
confidence: 90%
“…This is in contrast to approaches where statistical models of disturbances are assumed [13,24,25], or to approaches that are focused on averaging initial samples [2,9,[26][27][28], or to methods where the estimation variables are static parameters [12,18,[29][30][31], or to those where only local measurements are diffused over the network [32]. Compared to [2,7,9,13,26,28], we do not use the consensus algorithms in the estimator, and compared to [9], we do not use the Laplacian matrix associated to the communication graph to design the estimator.…”
Section: Introductionmentioning
confidence: 90%
“…In Carli, Chiuso, Schenato, and Zampieri (2011), the authors introduce a protocol to synchronize a network of controlled discrete-time double integrators which are nonidentical, with unknown model parameters and subject to additive measurement and process noise. In Liao and Barooah (2013), by assuming the dynamic nature of the network to be modeled as a Markov chain, the authors propose a distributed algorithm for the estimation of scalar parameters from noisy relative measurements. In particular, they prove that the estimates are mean square convergent under fairly weak assumptions.…”
Section: Related Workmentioning
confidence: 99%
“…We model the switching of the network topologies as a Markov chain; the reasonableness of this model for mobile networks has been established in [11]. We model the switching of the network topologies as a Markov chain; the reasonableness of this model for mobile networks has been established in [11].…”
Section: Markovian Topology Switchingmentioning
confidence: 99%
“…Recalling that L bi and D i correspond to  i ∈ G, we can use the same formula as that in (11) to defineL b andD. This means every graph in the state space of the chain occurs infinitely often.…”
Section: Markovian Topology Switchingmentioning
confidence: 99%
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