Abstract
The average consensus problem of continuous-time agents in undirected time-varying networks is studied. The network is allowed to be disconnected. A notion called infinite integral connectivity is proposed. Based on the notion, a necessary and sufficient condition for achieving consensus is given. That is, when the network topology is described by an undirected time-varying graph G(t), the agents achieve consensus if and only if the infinite integral graph of G(t) over [0,∞) is connected. This criterion does not hold for directed networks.
| Original language | English |
|---|---|
| Article number | 5772918 |
| Pages (from-to) | 1915-1920 |
| Number of pages | 6 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 56 |
| Issue number | 8 |
| DOIs | |
| State | Published - Aug 2011 |
Keywords
- Consensus
- Time-varying networks
- disconnected networks
- integral connectivity
- stability analysis