Optimization of a curve to get the same input curve

Hello Experts,

I am running a co simulation with MATLAB and MSC ADAMS. So from ADAMS we have an input (Say A) and we are getting output (Say B). Now I want to optimization in matlab such a way that my B- output should be match as Input A after some number of runs. So here everytime, when we pass an input A in ADAMS we will get an output B and this output B will be the input to the next run. after some number of runs, my last output should be aproxmiately same as Input A. I dont have any design variable or constraints for the optimization. Kindly please suggest a views/methodlogy on this

It would be great if you can help me with this.

Thanks