Minimizing a nonlinear integral (in Matlab, I hope)
Ok, I think this is a pretty tricky one.
I'm trying to develop a script to minimize A in the following function. It looks like I want to use the fmincon() function, but I'm not really sure. I think I just need a push in the right direction...
So there's a different value of x for every z - I need it to be able to feed it a value for z and have it return the value of x that will minimize A.
There are eight given values for each of C D and P (as in, we have C1 though C8 along with eight different terms that need to be added)
Here are some conditions which are making this extra tricky:
1) x must increase as z increases, that is dx/dz is always positive
2) x must be positive at all points
3) x must be less than 1, and preferably less than 0.5
If anybody can help me with this, you really are the best person in the universe.