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Convergence Results for the Linear Consensus Problem under Markovian Random Graphs
TLDR
We show that, if the consensus matrices are doubly stochastic, average consensus is achieved in the mean square sense and the almost sure sense if and only if the graph resulting from the union of graphs corresponding to the Markov process is strongly connected. Expand
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Towards a unified theory of consensus
We revisit the classic multi-agent distributed consensus problem. We adopt mild connectivity assumptions and with a novel application of the contraction coefficient we obtain simple yet general andExpand
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A simple proof of the continuous time linear consensus problem with applications in non-linear flocking networks
TLDR
We revisit the linear distributed consensus problem in continuous time, to provide a simple and elegant proof under very mild assumptions and obtain new initial conditions for asymptotic flocking. Expand
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A Generalized Gossip Algorithm on Convex Metric Spaces
TLDR
We introduce and analyze a randomized gossip algorithm for solving the generalized consensus problem on convex metric spaces, where the communication between agents is controlled by a set of Poisson counters. Expand
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Delay-Independent Stability of Consensus Networks with Application to Flocking∗
Abstract This work studies a class of linear first order and non-linear second order static distributed consensus networks with time-varying multiple propagation delays, in continuous time. WeExpand
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Interplay between performance and communication delay in noisy linear consensus networks
TLDR
This work investigates performance of noisy time-delayed linear consensus networks from a graph topological point of view. Expand
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Time-Delay Origins of Fundamental Tradeoffs Between Risk of Large Fluctuations and Network Connectivity
TLDR
We obtain explicit formulas for risk of large fluctuations of a scalar observable as a function of Laplacian eigenspectrum. Expand
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Distributed solution of the Economic Dispatch Problem in smart grid power systems framework with delays
  • C. Somarakis, J. Baras
  • Computer Science
  • 54th IEEE Conference on Decision and Control (CDC…
  • 1 December 2015
TLDR
We consider the Economic Dispatch Problem in power systems in a smart-grid architecture friendly environment. Expand
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New Results On Stochastic Consensus Networks
TLDR
We revisit the general linear consensus problem and provide new conditions for asymptotic consensus on two types of stochastic versions of the algorithm, in discrete and continuous time. Expand
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Aggregate fluctuations in time-delay linear consensus networks: A systemic risk perspective
TLDR
We discuss the notion of systemic risk in noisy consensus systems with delay as a measure of robustness and resilience. Expand
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