How do I code my optimization problem with the Optimization Tool Box?

How can i use the optimization tool box.

I have an optimization problem:

min F(t,w) s.t (-T<t<.01*T) U (-T<t<.01*T) and -(1/T)<w<(1/T);
where  F(t,w)= sum(sum(ai*bj*T*sin((w0+w)*T)).

Here a=[a1 a2 ..ai .. aN],w0,N and T are known and I need to find out the vector b=[b1 b2 ..bi... bN] which mininmizes F(t,w).

Answer 1

[James Allison]

This is an optimization problem with a nonlinear objective function and linear constraints. fmincon applies to this type of problem. You will need to define the objective function using either an anonymous function, or a MATLAB function defined in a separate .m file. Linear inequality constraints can be implemented by defining the appropriate matrix and vector when calling fmincon.