I am looking for some bibliography regarding solving integral optimization problems numerically (preferably using Matlab).
I want to solve problems of the type $ \min_{r \in A} \int_a^b (f(x,r(x),r'(x))dx $ where $A$ is a class of admissibility for $r$, where some constraints may appear.
I am not looking for a general method to solve all these problems. In my case $f$ is usually a very simple function. I just want to see some examples solved in detail, so that I could try and adapt the methods to my case.
I would be grateful if you could point me in the right direction.