Name
Title | ||
|---|---|---|
Eminence In Presence Of Time-Delay And Structured Uncertainties In Linear Consensus Networks |
Abstract | ||
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In this manuscript, we investigate the network centrality based on the coupling graph, structure of network uncertainties and time-delay. The focus of this paper is on time-delay linear consensus networks, where the network uncertainty is modeled by structured additive noise input on the update dynamics of each agent. The performance of the network is measured by the square of the H-2-norm which manifests itself as the degree of the agreement among the nodes in existence of external disturbances. First, we derive this performance measure as a function of time-delay, the Laplacian matrix of the network, and the covariance matrix of the input noise. We study a few uncertainty structures that have real-world interpretation. Then, we discuss two classes of centrality indices one focusing on intensity of the noise and the other one considering strength of the couplings of the network. In addition, we find an explicit formula for the centrality index for all types of uncertainty structure. Lastly, we rank nodes or edges based on their centrality index and through our examples we discuss the role of time-delay and uncertainty structure in our centrality ranking. Our counter intuitive grasp is that some of centrality measures are highly volatile with respect to time delay. |
Year | Venue | Field |
|---|---|---|
2017 | 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | Topology,Laplacian matrix,Graph,Mathematical optimization,Coupling,GRASP,Noise measurement,Ranking,Computer science,Centrality,Covariance matrix |
DocType | ISSN | Citations |
Conference | 0743-1546 | 1 |
PageRank | References | Authors |
0.36 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yaser Ghaedsharaf | 1 | 7 | 3.89 |
| Milad Siami | 2 | 122 | 15.65 |
| Christoforos Somarakis | 3 | 55 | 12.13 |
| Nader Motee | 4 | 181 | 28.18 |