Hello, I need to find out the optimized two parameter(a and b) to make minimum of (f2+f1-0.576). What I have is the differential equations of f1,f2,and f3.
for example, f1'=3*a/b*f2*f1+16*(f3-f1) f2'=-3*a/b*f2*f1+(f3-f1) f3'= 5*a/b*f1+(f2+f3) f1(0)=f2(0)=f3(0)=1 and f2(1)+f1(1)=0.576 for 0<-x<-1. The ranges of parameters are 0<-a<-10 and 100<-b<-1000.
And I want to use fmincon to optimize a and b to make minimum of (f2(1)+f1(1)-0.576). I can solve the differential equations with the fixed a and b. But I don't know how to find out the optimized a and b. My fmincon equation is, [x,f]=fmincon (@myfun,...)
F=myfun (x,a,b) F=f2(1)+f1(1)-0.576
In F equation, there is no a or b, so I can not set the initial,Ub, or Lb for a and b in fmincon. Actually, I don't know how to solve the differential equations with ode45 without a and b now. Can anyone help me to solve the equation? Thank you in advance.