Thread: how to merge system of recurrence equations

Hi all,
I have two recurrence equations and an algebric one that I would like to merge:
x1(n+1)=x1(n)+t*u(n)-t*x2(n)
x2(n+1)=x2(n)+t*y(n)/q(n)+t*d(n)/q(n)
y(n)=p1(n)*x1(n)+p2(n) *u(n)-p2(n)*x2(n)

I'd like to wright a single equation without x1 and x2, how to do that?
thanks

Hi,
I found this method to reduce system of recurrence equation: System of recurrence relations
However, I did'nt found a way to apply this method to my problem as my recurrence equation couldn't be written in a linear equation relating x(n) and x(n-1), in addition my las equation is not recurrent.
Can't we use a similar way to reduce my system of equations?
What would be the analogue of caracteristic polynomial for my problem?
thanks