doublet responce of doublet input

doublet input of magnitude 𝛿𝑒 = 0.1 and time length Δ𝑡 = 1 s;

how i can give doublet input in matlab any idea i have to get the doublet responce of the doublet input magnitude &=0.1 and ltime length

Δ𝑡 = 1 s;

i have lti system in matlab

clc
clear all
A=[-0.0295 0.0478 0 -9.81;-0.1777 -1.4411 120 0;0.0005 -0.033 -1.5345 0;0 0 1 0]
B=[0;-12.81;-6.59;0]
C=[0 0 0 1]
D=[0]
[num ,dem]=ss2tf(A,B,C,D)
sys=tf(num,dem)

Answer 1

[Paul]

Can you express the doublet as a sum of unit step functions, eahc of which are appropriately scaled and delayed?

If so, and you can find the output of the sytstem in response to a unit step input, then you can use the linearity and time invariance properties of the system to construct the output in response to the doublet.