Name
Title | ||
|---|---|---|
A Necessary and Sufficient Condition for Consensus of Continuous-Time Agents Over Undirected Time-Varying Networks. |
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/TAC.2011.2157393 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Network topology,Laplace equations,Communication networks,Mobile communication,Trajectory,Topology,Multiagent systems | Graph theory,Discrete mathematics,Combinatorics,Telecommunications network,Integral equation,Multi-agent system,Network topology,Integral graph,If and only if,Random geometric graph,Mathematics | Journal |
Volume | Issue | ISSN |
56 | 8 | 0018-9286 |
Citations | PageRank | References |
17 | 1.13 | 17 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Li Cao | 1 | 17 | 1.13 |
| Yufan Zheng | 2 | 91 | 12.83 |
| Qing Zhou | 3 | 19 | 2.97 |