I’m not sure why you would even think that T is constant is a valid construction in CVX. It is nowhere to be seen in the documentation. Please read that before going any further. While you are there, make sure to read this section so you aren’t surprised by what CVX does with your A*x>0 cosntraint.
But I am afraid I do not understand what you are even trying to do with T is constant. Can you describe what you want it to do?