Optimal selection from function set. A selection matrix is calculated by optimizing the constrain objective function.

There are four functions, expressed as ,i=1,2,...,I, and where u=[-1 1],(code in [-1:0.01:1]),I=4, {0.1 0.11 0.12 0.13}.

Define another function , p=1,2,...,P, P=64 and is a random number between [0.4 0.5].

The question is how to choice a in each p to achive the objective function where [-1,0] and [0.15 1], is one of {}.

The output can be a matrix in which only one element in each row is 1 and the rest are 0, that is, if =1, the ith function is selected for the pth calculation.

[Sargondjani]

Nice homework. What did you try so far?