Condition between variable fmincon

I have an optimization problem of 2 variables a and b of lenght N both.

I want to add the following constraint with matrices:

if a=0 then b=0

Can you help me to do this?

[Alan Weiss]

I'm sorry, but I do not understand your question. Is your problem an integer problem? If not, then this constraint is quite discontinuous, and probably not suitable for Optimization Toolbox™. I also do not understand the constraint. Do you mean a(i) = 0 implies b(i) = 0, or do you mean that the constraint holds only if all elements in a are zero?

Alan Weiss

MATLAB mathematical toolbox documentation

[wiem abd]

Thank you Alan for your answer. My problem is not integer. I mean that if a(i)=0 then b(i)=0 for i between 1 and N where N=size(a)=size(b) And a and b are vectors of two optimization variables.

[Matt J]

I agree with Alan. If your variables are continuous, it is peculiar to impose such a discontinuous constraint. What is the rationale behind it?

[wiem abd]

When no ressources are allocated (i.e. a(i)=0) then the offloading should not happen.

In the litterature, I found b<a which is not very accurate.