plot for fmincon with multiple value of parameter

Does any one know how to plot optimal results w.r.t. the value of m, c below my optimisation problem.

Say, I need to plot m at x axis and x(1) at y axis.

f = @(x,m)(-m*x(1)-2*x(2)-x(1)*x(2))

for m=2:0.2:3

[x,fval]=fmincon(@(x)f(x,m),x0,[1,1],18,[],[],[0;0],[Inf;Inf])

end

Thanks

Answer 1

[Shashank Prasanna]

I posted the answer in your previous questions here:

http://www.mathworks.com/matlabcentral/answers/81400#answer_91134

[Ni]

Thanks so much Shashank.

A quick question, I want to plot another optimal solution with different range of m, say m=0:02:2. But I wish to plot two lines in the same picture, namely with the value of m=0:0.2:2 and m=2:0.2:3; x axis is the value of m, y axis is the value of optimal solution x(1).

[Ni]

And, two lines are in different colors.

Tons of thanks Shashank.

[Shashank Prasanna]

You will find all that information for customization right here:

http://www.mathworks.com/help/matlab/ref/plot.html

[Ni]

Hi Shashank, could you help on my problem as below, very urgent. I need to plot multiple lines in one graph. The first line is the optimal solution of x(1) with the value a=-0.02 and b=0.05; The second line is the optimal solution of x(1) with value a=-0.05 and b=0.05;

see below the detailed codes of a single line in the graph with one set of a and b.

x0=[0,0,0,0];

m=2;a=-0.02;b=0.05;d=0.9;c=0.05;

f = @(x,r)(-x(1)*x(2)*(m-x(2)-c)-(1-x(1))*x(2)*(m-x(2)+(a+b)/2-c)-d*x(3)*x(4)*(m+x(1)*x(2)+(1-x(1))*x(2)*r-x(4)-c)-d*(1-x(3))*x(4)*(m+x(1)*x(2)+(1-x(1))*x(2)*r-x(4)+(a+b)/2-c))

r=0:0.05:1

for ii = 1:length(r)

x(:,ii),fval]=fmincon(@(x)f(x,r(ii)),x0,[],[],[],[],[0;0;0;0],[1;2;1;2])

end

plot(r,x(1,:))

title('Figure Title');

xlabel('x');

ylabel('y');