Well, one option on how to e.g. create your 
is to do something like this:
is to do something like this:Atilde = arrayfun(@(x) A.^x, 0:1:n, 'UniformOutput',false).';
Atilde = vertcat(Atilde{:});
Similarly, you can implement other solutions for your other setups. I would recommend you to just take a look at Matlab-internal functions like: Block diagonal matrix - MATLAB blkdiag - MathWorks Deutschland, Repeat copies of array - MATLAB repmat - MathWorks Deutschland, Apply element-wise operation to two arrays with implicit expansion enabled - MATLAB bsxfun - MathWorks Deutschland, ...
Naturally, doing everything in a for-loop using if-clauses is also an option. It mainly depends on how efficient you need the implementation to be.
