Continuous-Time System:
a1 = 16, a0 = 18, b1 = 7, b0 = 5, 

Your excitation signal x(t) consists of straight lines connecting these points.
It has been zero up until the first time and is zero after the last time.

t = 2.26739, x(t) = 0
t = 2.26739, x(t) = 1
t = 2.87174, x(t) = 1
t = 2.87174, x(t) = 4
t = 4.14669, x(t) = 4
t = 4.14669, x(t) = -17
t = 6.2532, x(t) = -17
t = 6.2532, x(t) = 1
t = 8.48727, x(t) = 1
t = 8.48727, x(t) = 0
t = 16.2059, x(t) = 0

Discrete-Time System:
a0 = 33, a1 = 26, b0 = 18, b1 = -6, 
0 <= n < 3,  x[n] = 0
3 <= n < 8,  x[n] = -20
8 <= n < 14,  x[n] = 25
14 <= n < 16,  x[n] = -12
16 <= n < 30,  x[n] = 0

x[n] has been zero up until the first time and is zero after the last time.