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) |
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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 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering
Keywords
- S-energy