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 | |
| 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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Cite this
Chazelle, B. (2019). A sharp bound on the s-energy and its applications to averaging systems. IEEE Transactions on Automatic Control, 64(10), 4385-4390. [8642407]. https://doi.org/10.1109/TAC.2019.2899509