Name
Title | ||
|---|---|---|
A Resistance Distance-Based Approach for Optimal Leader Selection in Noisy Consensus Networks. |
Abstract | ||
|---|---|---|
We study the performance of leader–follower noisy consensus networks and, in particular, the relationship between this performance and the locations of the leader nodes. Two types of dynamics are considered: 1) noise-free leaders, in which leaders dictate the trajectory exactly and followers are subject to external disturbances and 2) noise-corrupted leaders, in which both leaders and followers are subject to external perturbations. We measure the performance of a network by its coherence , an $H_2$ norm that quantifies how closely the followers track the leaders’ trajectory. For both dynamics, there is a relationship between the coherence and resistance distances in an electrical network. Using this relationship, we derive closed-form expressions for coherence as a function of the locations of the leaders, and we give analytical solutions to the optimal leader selection problem for several classes of graphs. |
Year | Venue | Field |
|---|---|---|
2017 | IEEE Transactions on Control of Network Systems | Graph,Mathematical optimization,Electrical network,Expression (mathematics),Norm (social),Coherence (physics),Resistance distance,Mathematics,Perturbation (astronomy),Trajectory |
DocType | Volume | Citations |
Journal | abs/1708.06873 | 1 |
PageRank | References | Authors |
0.36 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Stacy Patterson | 1 | 351 | 30.68 |
| Yuhao Yi | 2 | 22 | 6.91 |
| Zhongzhi Zhang | 3 | 85 | 22.02 |