The total s-energy of a multiagent system

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Abstract

We introduce the total s-energy of a multiagent system with time-dependent links. This provides a new analytical perspective on bidirectional agreement dynamics, which we use to bound the convergence rates of dynamical systems for synchronization, flocking, opinion dynamics, and social epistemology.

Original languageEnglish (US)
Pages (from-to)1680-1706
Number of pages27
JournalSIAM Journal on Control and Optimization
Volume49
Issue number4
DOIs
StatePublished - Sep 19 2011

All Science Journal Classification (ASJC) codes

  • Control and Optimization
  • Applied Mathematics

Keywords

  • Agreement dynamics
  • Consensus
  • Convergence rate
  • Multiagent systems

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