# Control optimization problem

I am running into a problem where I have a control system $$S[t]$$ that takes a control $$C[t]$$, so that $$S[t+1] = H(C[t,t-1,...], S[t,t-1,...])$$ the response of the system is the history of controls and responses.

I am looking for a way to control $$C[t]$$ to optimize the value of $$S[t]$$ at any point in time.

What is the literature on this problem called? Where do I start looking? Thanks.

• Your Question should be more accurate, I think that I can help you. Feb 10 '20 at 15:11