Linear Algebra - Equilibrium state of dynamical system

[cris623]

Homework Statement

Find the equilibrium state of the dynamical system

x1(t+1)=−05x1(t)−02x2(t)−1
x1(t+1)=26x1(t)+07x2(t)+1

the 1's and 2's after the x's are actually subscripts

I have no idea where to start with this. We did equilibrium systems in class but I've never seen the information represented this way and I have no idea where to start.
I'm more just looking for an explanation on how to read the equations.
Thanks in advance

 

[tiny-tim]

hi cris623!

(try using the X₂ icon just above the Reply box )

hint: in equilibrium, x₁(t+1) will be the same as x₁(t), won't it?