Abstract
We identify counterexamples to the consensus result given in Semonsen et al. (2018). We resolve the counterexamples by replacing Lemma 5 in the given reference with a novel variation of the Banach fixed-point theorem, which explains both the numerical results in the reference and the counterexample(s) in this note and provides a sufficient condition for consensus in systems with increasing peer-pressure. This work is relevant for other papers that have used the proof technique from Semonsen et al. and establishes the veracity of their claims assuming the new sufficient condition.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 11942-11947 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Cybernetics |
| Volume | 52 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 1 2022 |
All Science Journal Classification (ASJC) codes
- Software
- Control and Systems Engineering
- Information Systems
- Human-Computer Interaction
- Computer Science Applications
- Electrical and Electronic Engineering