Centrality in Time-Delay Consensus Networks with Structured Uncertainties
| Autor: | Yaser Ghaedsharaf, Nader Motee, Christoforos Somarakis, Milad Siami |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Theoretical computer science Covariance matrix Computer science 020208 electrical & electronic engineering GRASP Systems and Control (eess.SY) 02 engineering and technology Noise 020901 industrial engineering & automation Control and Systems Engineering Norm (mathematics) FOS: Electrical engineering electronic engineering information engineering 0202 electrical engineering electronic engineering information engineering Rank (graph theory) Graph (abstract data type) Computer Science - Systems and Control Electrical and Electronic Engineering Laplacian matrix Centrality |
| Popis: | We investigate notions of network centrality in terms of the underlying coupling graph of the network, structure of exogenous uncertainties, and communication time-delay. Our focus is on time-delay linear consensus networks, where uncertainty is modeled by structured additive noise on the dynamics of agents. The centrality measures are defined using the H 2 -norm of the network. We quantify the centrality measures as functions of time-delay, the graph Laplacian, and the covariance matrix of the input noise. Several practically relevant uncertainty structures are considered, where we discuss two notions of centrality: one w.r.t intensity of the noise and the other one w.r.t coupling strength between the agents. Furthermore, explicit formulas for the centrality measures are obtained for all types of uncertainty structures. Lastly, we rank agents and communication links based on their centrality indices and highlight the role of time-delay and uncertainty structure in each scenario. Our counter-intuitive grasp is that some of centrality measures are highly volatile with respect to time-delay. |
| Databáze: | OpenAIRE |
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