Transfer function between an input and output one time constant

Authors: Mathilde Bongrain

Diagram

transfer function diagram

Syntax:

function name: tf1p
input variable : \(x_i\)
output variable : \(x_j\)
data name, parameter name or math expression for \(G\)
data name, parameter name or math expression for \(T\)

Internal states : none

Discrete variable : none

Equations

\[T \dot{x_j} = - x_j + G x_i\]

N.B. A zero value for \(T\) is allowed.

Evaluate