How to find out if the system is an LTI system or not from the impulse response h(t)?

[SherlockBenedict]

I know to find out if the system is linear and time invariant or not if you could write y(t) in terms of x(t).

But I couldn't find out if the system is linear and time invariant or not when you are provided with h(t). How would you find that out?

Thanks a lot

 

[albert22]

I you really meant H(s) transfer function or H(jw) and not H(t)
I think that Laplace transform should be applied only to LTI systems. So you will not get a valid h(s) if you try to get it from a non LTI. I someone gives you H(s) then implies that it was a result of a LTI system.
Same with Fourier transform that will give you H(jw).

 

[ahmad1954]

if h(t) is linear, your system is linear too.

 

[MikuIyer]

Check for time invariance and linearity (superimposition ) of the system.
If both of these conditions are satisfied, then the system is LTI system.