Consensus with Constrained Convergence Rate and Time-Delays

机译：约束收敛速率和时滞的共识

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In this paper we discuss consensus problems for networks of dynamic agents with fixed and switching topologies in presence of delay in the communication channels. The study provides sufficient agreement conditions in terms of delay and the second largest eigenvalue of the Perron matrices defining the collective dynamics. We found an exact delay bound assuring the initial network topology preservation. We also present an analysis of the agreement speed when the asymptotic consensus is achieved. Some numerical examples complete the presentation.

机译：在本文中，我们讨论了在通信通道存在延迟的情况下，具有固定拓扑和交换拓扑的动态代理网络的共识性问题。该研究在定义集体动力学的Perron矩阵的延迟和第二大特征值方面提供了足够的协议条件。我们发现了确切的延迟范围，可以确保最初的网络拓扑保留。当达到渐近共识时，我们还对协议速度进行了分析。一些数字示例完成了演示。

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来源
《Time delay systems: methods, applications and new trends》|2010年|p.417-428|共12页
会议地点 Prague(CZ);Sinaia(RO)
作者
Irinel-Constantin Morarescu; Silviu-Iulian Niculescu; Antoine Girard;
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作者单位

CRAN (UMR-CNRS 7039), Nancy-Universite, 2 avenue de la Foret de Haye,54516, Vandoeuvre-les-Nancy;

L2S (UMR CNRS 8506), CNRS-Supelec, 3, rue Joliot Curie, 91192, Gif-sur-Yvette;

Joseph Fourier University, Jean Kuntzmann Laboratory, Tour IRMA,51 rue des Mathematiques, 38400, Saint Martin d'Heres;

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Consensus with Constrained Convergence Rate and Time-Delays

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