how can i put specific limitation of the output of function in optimization tool algorithms

Hi all can any one help me , i have equation regarding about optimization. for example

    clear all
    clc
    fun = @(x)1+x(1)/(1+x(2)) - 3*x(1)*x(2) + x(2)*(1+x(1));
    lb = [0,0];
    ub = [1,2];
    A = [];
    b = [];
    Aeq = [];
    beq = [];
    x0 = [0.5,1];
    x = fmincon(fun,x0,A,b,Aeq,beq,lb,ub)

my question is how can i make the algorithm work to find the optimal value of x only if the result of output function (fun) just in over than 1 . if there any other optimization logarithm work under my question , please let me know

[Alan Weiss]

I am sorry, but I have a hard time understanding you. Please mark your code with {} Code so that we can read it. And I do not understand this sentence: "my question is how can i make the algorithm work to find the optimal value of x only if the result of output function (fun) just in over than 1 ." What does "just in over than 1" mean?

Alan Weiss

MATLAB mathematical toolbox documentation

[mohammed hussein]

thank you for your response

 clear all
 clc 
fun = @(x)1+x(1)/(1+x(2)) - 3*x(1)*x(2) + x(2)*(1+x(1)); lb = [0,0]; ub = [1,2]; A = []; b = []; Aeq = []; beq = []; x0 = [0.5,1]; x = fmincon(fun,x0,A,b,Aeq,beq,lb,ub)

In normal optimization algorithm works to find the optimal parameter (X) that find min value of output (fun). i want the optimization algorithm can work in specific range value of output (fun). "just over 1" of output (fun) .

[Alan Weiss]

I am sorry, but I do not understand your question. Perhaps use different words or give an example of what is and what is not an output that satisfies you.

Alan Weiss

MATLAB mathematical toolbox documentation

Answer 1

[Matt J]

You can use a non-linear constraint to force fun(x)>=1, but your feasible region would probably consist of disjoint pieces. Because you only have two unknowns, it would probably be pretty easy to do a sweep over these parameters to find a solution close enough to the optimum to avoid getting stuck in the wrong piece.

[mohammed hussein]

Thank you