constrains of the optimization problem

Hello

I am using ga solver to solve a multivariable problem (x1..x4)

All of the design variables are bounded between an upper and a lower limits.

In addition there are other explicit equations and external specification that should be met such as:

yc1-y1=0 ;  %(Depending on the number of components you have c equations)
yc2-y2=0;
yc3-y3=0;
ycn2-yn2=0;
yc1+yc2+yc3+yn2=1

and a few other equations. How can I add those constrains to the optimization toolbox?

[Walter Roberson]

What is the relationship between y*, yc*, and x* ?