2009 · 31 citations · 18 references
Dynamic NetworkNetwork ScienceGraph TheoryEngineeringDistributed CoordinationNetworked ControlAverage ConsensusBusinessNetwork AnalysisSystems EngineeringContinuous-time AgentsStochastic NetworkNetwork DynamicAverage Consensus ProblemDelayed InformationLinear Matrix InequalitiesSocial Network Analysis
This paper investigates average consensus problem in networks of continuous-time agents with delayed information and jointly-connected topologies. A sufficient condition in terms of linear matrix inequalities (LMIs) is given under which all agents asymptotically reach average consensus, where the communication structures vary over time and the corresponding graphs may not be connected. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.
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Novel Type of Phase Transition in a System of Self-Driven Particles
Tamás Vicsek, András Czirók, Eshel Ben‐Jacob et al. · Physical Review Letters · 1995 · 7.2K citations · Full text