My lecturer has decided that in order to pass our signal analysis class, we have to give a presentation on the blackboard in front of the entire class, so its kinda critical that i get this right. (Issue is i'm pretty bad at this class). I managed to convolute the subsystems, but i would appreciate some confirmation that its correct.
Then, i have to check that it's BIBO stable, and i'm not quite sure how to proceed.
EDIT: It was pretty easy showing that each cascade in the system was BIBO, as Hilmar hinted, but this shows me that my response on the convolution is wrong, as I can't seem to be able to get that to converge. I still don't get what i am doing wrong. I see the geometric sum similarity, but i dont get how the unit step affects it