How to impulse response including unit step function

I want to plot this impulse response on matlab over some time range:

This includes unit step function in it so I dont know how to plot this function on matlab. Can anyone help me in this.

Answer 1

[Peter O]

The Heaviside step function is defined

Substitute a logical check on t for u(t). Should be extendable to a shifted step function (), too.

t = -0.001:0.001:3;
h = 3*exp(-2*t).*(t > 0) - exp(-t).*(t>0); 
plot(t,h)

[Muhammad Ali]

Thank you

Answer 2

[Ameer Hamza]

Another approach is to use the impulse() from control system toolbox

s = tf('s');
sys = 3/(s+2)-1/(s+1); % laplace transform of impulse response
impulse(sys)

[Muhammad Ali]

Thank You