netcontrol (version 0.1)

average_control: average_control - Average controllability as defined by the trace of the Gramian

Description

A commonly used measure pasqualettiControllabilityMetricsLimitations2014anetcontrol of the overall controllability of a system defined by \(x_(t+1) = Ax_(t) + Bu_(t)\).

Usage

average_control(A, B)

Arguments

A

A \(n x n\) matrix.

B

A \(n x m\) matrix.

Value

Trace of the infinite time Gramian.

References

pasqualettiControllabilityMetricsLimitations2014anetcontrol

Examples

# NOT RUN {
A = matrix(c(0,-3,-2,2,-2,1,-1,2,-1), 3,3)
B = diag(3)

average_control(A, B)
# }