Continuous-Time System:
a1 = 3, a0 = 19, b1 = -8, b0 = -2, 

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 = 1.75495, x(t) = 0
t = 1.75495, x(t) = 14
t = 2.47968, x(t) = 14
t = 2.47968, x(t) = -0
t = 2.49892, x(t) = -0
t = 2.49892, x(t) = -24
t = 6.45367, x(t) = -24
t = 6.45367, x(t) = -3
t = 8.32915, x(t) = -3
t = 8.32915, x(t) = -13
t = 9.3843, x(t) = -13
t = 9.3843, x(t) = 6
t = 10.3383, x(t) = 6
t = 10.3383, x(t) = 0
t = 15.9175, x(t) = 0

Discrete-Time System:
a0 = -37, a1 = -33, b0 = -9, b1 = 14, 
0 <= n < 4,  x[n] = 0
4 <= n < 9,  x[n] = 2
9 <= n < 14,  x[n] = 6
14 <= n < 16,  x[n] = 7
16 <= n < 27,  x[n] = 0

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