Minimum Energy Control in State Transfer

How to calculate Minimum control u*(t) required to state transfer from x1(t) to x2(t) and from it the states x1*(t) and x2(*)? also how to Plot them?

Thank you

[Rajani Metri]

I got the answer, how to calculate u*(t) and both the states of a 2nd order system x1*(t) and x2*(t).

Now only question is how to give nomenclature to both the states or how to show variuos points on the plots? If someone can help it would be helpful.

Thank you.