optimization problem with arrays

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Gerard Burjalès
Gerard Burjalès 2022-12-7
编辑： Bruno Luong 2022-12-7
Hello, I am trying to create a problem based optimization problem for minimazing.
To summer it up, I want to do this optimization and I don't know how to do what I have in bold:
array1 = array2 - array3 .* (optimization_variable);
A=sum(array1(array1>0));
objective = A;
Is there any way to put conditionals in an optimization problem?
Thanks in advance

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Bruno Luong
Bruno Luong 2022-12-7
编辑：Bruno Luong 2022-12-7
Could you try this equivalent expression
A=sum(array1.*(array1>0));
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Bruno Luong
Bruno Luong 2022-12-7
编辑：Bruno Luong 2022-12-7
May be you should relax the if test and replace it with one of the sigmodid function
https://en.wikipedia.org/wiki/Sigmoid_function
S = @(x) atan(x)/(pi/2); % select the function you want
scale = ... ; small number appropriate for array1.
A = sum(array1.*((S(array1/scale)+1)/2));
Gerard Burjalès
Gerard Burjalès 2022-12-7
Thanks for solving the issue and for the warm welcome in this community

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