A sharp bound on the s-energy and its applications to averaging systems

Bernard Chazelle

doi:10.1109/TAC.2019.2899509

A sharp bound on the s-energy and its applications to averaging systems

Bernard Chazelle

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The s-energy is a generating function of wide applicability in network-based dynamics. We derive an (essentially) optimal bound of (3/ρs)^n-1 on the s-energy of an n-agent symmetric averaging system, for any positive real s ≤ 1, where ρ is a lower bound on the nonzero weights. This is done by introducing the new dynamics of twist systems. We show how to use the new bound on the s-energy to tighten the convergence rates of systems in opinion dynamics, flocking, and synchronization.

Original language	English (US)
Article number	8642407
Pages (from-to)	4385-4390
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	64
Issue number	10
DOIs	https://doi.org/10.1109/TAC.2019.2899509
State	Published - Oct 2019

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Keywords

S-energy

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10.1109/TAC.2019.2899509

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