Abstract
In this paper, we provide a proof of almost sure exponential convergence to consensus for a general class of ergodic edge selection processes. The proof is based on the multiplicative ergodic theorem of Oseledec and also applies to continuous time gossip algorithms. An example of exponential convergence in a non ergodic case is also discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1033-1045 |
| Number of pages | 13 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 23 |
| Issue number | 9 |
| DOIs | |
| State | Published - Jun 2013 |
Keywords
- consensus
- multiplicative ergodic theorem
ASJC Scopus subject areas
- Control and Systems Engineering
- General Chemical Engineering
- Biomedical Engineering
- Aerospace Engineering
- Mechanical Engineering
- Industrial and Manufacturing Engineering
- Electrical and Electronic Engineering