Proceedings of the 25th Chinese Control Conference
7-11 August, 2006, Harbin, Heilongjiang
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Convergence Analysis of Linearized Vicsek's Model
Gongguo Tang, Lei Guo
Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080
E-mail: Lguo@iss.ac.cn
Abstract: In this paper, the linearized Vicsek's Model will be considered. A sufficient condition will be established
to guarantee the convergence of the agents' fly headings in large probability when the number of agents in the model is
sufficiently large.
Key Words: multi-agent system, collective behavior, linearized Vicsek's Model, convergence in large probability, graph
Laplacians , normalized algebraic connectivity
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of W.H.Fleming, pp. 547-566, 1998.
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nectivity in wireless networks," Stochastic Analysis, Con-
1
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Press, 1993.
[14Technology
[14] P. Gupta, P. R. Kumar, "Critical power for asymptotic con-
1
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x
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2
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Stability,Estimation and Control," Jilin Science and
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