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29 March 2024
 
  » arxiv » nlin/0512070

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Contraction Analysis of Time-Delayed Communications Using Simplified Wave Variables
Wei Wang ; Jean-Jacques E. Slotine ;
Date 25 Dec 2005
Subject Pattern Formation and Solitons
AbstractWe study stability of interacting nonlinear systems with time-delayed communications, using contraction theory and a simplified wave variable design inspired by robotic teleoperation. We show that contraction is preserved through specific time-delayed feedback communications, and that this property is independent of the values of the delays. The approach is then applied to group cooperation with linear protocols, where it shown that synchronization can be made robust to arbitrary time delays.
Source arXiv, nlin/0512070
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