2010
DOI: 10.1088/1674-1056/19/12/120513
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Convergence speed of consensus problems over undirected scale-free networks

Abstract: Scale-free networks and consensus behaviour among multiple agents have both attracted much attention. To investigate the consensus speed over scale-free networks is the major topic of the present work. A novel method is developed to construct scale-free networks due to their remarkable power-law degree distributions, while preserving the diversity of network topologies. The time cost or iterations for networks to reach a certain level of consensus is discussed, considering the influence from power-law paramete… Show more

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Cited by 5 publications
(4 citation statements)
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References 49 publications
(39 reference statements)
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“…If we choose ε 1 > K 1 ε 2 and can find two positively definite matrices , for < 0, then setting −λ = λ max ( ) (λ > 0), we obtain from inequalities (17) and (19) that…”
Section: Network With Fixed Topologymentioning
confidence: 99%
See 1 more Smart Citation
“…If we choose ε 1 > K 1 ε 2 and can find two positively definite matrices , for < 0, then setting −λ = λ max ( ) (λ > 0), we obtain from inequalities (17) and (19) that…”
Section: Network With Fixed Topologymentioning
confidence: 99%
“…In recent years, a number of researchers have investigated the consensus problems from various perspectives. [15][16][17][18][19][20][21] In multi-agent systems, communication time delays may arise naturally, e.g., because of agents moving, the congestion of the communication channels, and the asymmetry of the interactions. Therefore, the stability analysis for multiagent systems with time delays has become an attractive subject of research in the past few years.…”
Section: Introductionmentioning
confidence: 99%
“…The emergence of social behavior at the global population level has been widely studied. [1][2][3][4][5][6][7][8][9] The application of the statistical physics models to social dynamics is called sociophysics. [10,11] With statistical analysis of networks, the physics of networks [12] becomes a new field, and supplies important clues about how networks function and even offers predictions of their future behavior.…”
Section: Introductionmentioning
confidence: 99%
“…Recently, the consensus problem has been studied in various fields, such as groups of mobile autonomous agents, [2] networked control systems, [3] and other applications. [4][5][6][7][8][9][10] In Refs. [11] and [12], the consensus problems for high-order multi-agent systems were studied.…”
Section: Introductionmentioning
confidence: 99%