ave_control_centrality {netcontrol}

Average Control Centrality

Description

Calculates the average control centrality of a system defined by x_(t+1) = Ax_(t) + Bu_(t).

Usage

ave_control_centrality(A)

Arguments

A

An n by n matrix.

Value

A length n vector of average control centrality measures (Pasqualetti et al. 2014), representing the overall average control of each node in the system.

References

Pasqualetti F, Zampieri S, Bullo F (2014). “Controllability Metrics, Limitations and Algorithms for Complex Networks.” In 2014 American Control Conference, 3287–3292. ISBN 978-1-4799-3274-0 978-1-4799-3272-6 978-1-4799-3271-9, doi: 10/ggkhs9.

Examples

A = matrix(c(0,-3,-2,2,-2,1,-1,2,-1), 3,3)

ave_control_centrality(A)